I'm wondering how on earth I could explain those screenshots if someone in my family saw them...

You often forget you left a game running in the background. ;P

You could say you left the game running in the background and forgot about it?
Or maybe someone hacked your account and they really enjoyed playing those games?

Or you can do what I would do and not give a crap what family members would say :D

Fun With Numbers: 2873+2154+1762 = 6789

More fun:
6789 hours = 282.88 Days or 40.41 weeks or 9.43 months

He played those three games long enough to gestate a baby!!

Ok, I have a stupid number for you.

I've played 37420 battles in World of Tanks. Before each battle there's a 30 second countdown (plus waiting for the matchmaker to create a battle and a loading time, but let's ignore those this time). Those 30s times the number of battles is 13 days of idly sitting in front of a screen and waiting for battles to start.

Not even once. I never tab out (or whatever key it is you hit to go to desktop) of a game. Mainly because I'm afraid something will mess up my game. lol So, no I never leave it running in the background or when I'm not at the computer. I'd think if someone left Fallout 4 just running wouldn't there character have a real good chance of dying? I play survival difficulty perma-death so I won't take any chances on my character dying (for 2 1/2 years I've been doing this trying to prove you can beat the game on survival without dying... but all I've proved so far is it's really easy to die in survival mode lol though I have made it past level 40 a few times and made it as high as level 64 just a couple of weeks ago when I died. Man that one hurt to start over... and then the next game I didn't even make it to level 10 lol).

Pausing the game before alt-tabbing would be advisable. That perma-death playthrough sounds challenging, if not masochistic. ;)

Agreed with WoT being the ultimate time killer. I played "only" 23 378 battles (not that high of a number). There is an absolute minimum of 30 seconds before every battle (if you include loading and waiting before the actual 30 second timer begins to tick, more like 45 seconds) and the average battle takes about 6-7 minutes.

But even counting only the absolute minimum, that is:
23 378x30 seconds=195 hours of just waiting for battle to start
and
23 378x6.5 minutes = 2532 hours of play time.
Coming at over 2.7k hours

And I stopped playing years ago. Some people have more than triple the number of games I played.

EDIT:
And that is just counting pure playtime, not the time you spend managing you garage, crew, equipment etc. in-between games.

Um, that was the answer to your OT question, not a diagnosis. This is what one should say if these statistics were seen by a supercilious family member (or some other person who might raise an eyebrow of disapproval).

thats why I dont like such clients - you kinda get used to it and may even begin to play more just to play more (to increase hours counter)

I don't know about the other games, but I am 99% sure that FO4 starts counting when you start the launcher rather than when you actually enter the game, and once upon a time there was this funny bug where the launcher does not shut down when you exit the game.

So in principle you could have played the game and then the launcher got stuck and just idled for a few thousand hours. >_>

Don't know how you'll explain the other two, though.

You don't have to explain anything, it's your time and you can spend it however you like :3

That's some dedication. :)
And here I am, losing interest in most games after one playthrough...my poor wallet. :P

No need to worry, 2000 hours for Civ IV are still casual numbers. ;)

Serious answer: if it's something you enjoy, and you don't neglect other parts of your life, I say it's time well spent. There's nothing to explain. How much time does the average person spend watching TV or using social media with no one batting an eye?