Page 61 of The Players Handbook says (emphasis mine):
Skill Ranks: A character’s number of ranks in a skill is based on how many skill points a character has invested in a skill. Many skills can be used even if the character has no ranks in them; doing this is called making an untrained skill check.
and
Miscellaneous Modifiers: Miscellaneous modifiers include racial bonuses, armor check penalties, and bonuses provided by feats, among others.
And Page 66 says Skill Synergy:
It’s possible for a character to have two skills that work well together, such as someone with both Jump and Tumble. In general, having 5 or more ranks in one skill gives the character a +2 bonus on skill checks with each of its synergistic skills,
So I read this to mean Racial Bonuses to Skills do not count toward the required 5 ranks for Synergy. This seems counter-intuitive to me, in respect that if you're good at Use Rope, I'd expect it counts towards Escape Artist with rope because I'm just so damned good at using ropes.
Is this correct from a Rules as Written point of view? Does this make sense outside of a strict Rules as Written view?