Hi Mark,
those cherimoyas you received, they look like were being picked from about the same age fruits; so consequently, they will likely be ready for optimum consumption at about the same time/day.
I find that once cherimoya fruits start to "give" a little (ripe), then they will rapidly accelerate the ripening process...you might hope that putting them in fridge would stop this process, but I find that it isn't exactly so, they continue the process, albeit at a slightly slower rate.
If you plan on consuming them all at once -once they ripen- (eg. same day) then this would be good; but if you plan on eating it like a fruit per day; the first fruit might be just right, the 2nd one may still be good, but by the time you come to the 3rd or 4th day, the fruits maybe a little over ripe; too soft/mushy- based on my personal experience.
So, if you were to eat those 4 fruits at the rate of 1/day, then some compromise might be in order...
lets say, eat the 1st fruit slightly under ripe, then your 2nd and 3rd day's would be "just right" (hopefully) and the 4th fruit would probably be little over ripe...so, you'd be the judge...
My 2 cents...