Anybody know where this hose goes?

[Multibeemer]

It's hose number 3 in this diagram (2003 4.4i):

RealOEM.com * BMW E53 X5 4.4i Cooling System Water Hoses

Here's a somwhat blurry picture of it from below:



I'm at the tail end of what's turned out to be a very large project to replace my valve cover gaskets and timing chain cover gaskets, which was complicated a thousandfold when I dropped the chain tensioner plunger into the lower timing chain cover, which necessitated removing everything from the front of the engine to retrieve it. I honestly don't remember disconnecting this hose - this I did disconnect I labeled to make sure I'd know where the go back, so this one has me baffled. I just don't see anyting in the vicinity of the end of this host that looks remotely like a hose fitting, and unfortunately the diagram on realoem.com doesn't show where it connects. I would be forever grateful to anyone who points out where this hose connects, as it's the last thing I have to do before topping up the coolant. Thanks.