Question 4
In parallelogram $ABCD,$ point $M$ is on $\overline{AB}$ so that $\frac{AM}{AB} = \frac{17}{1000},$ and point $N$ is on $\overline{AD}$ so that $\frac{AN}{AD} = \frac{17}{2009}.$ Let $P$ be the point of intersection of $\overline{AC}$ and $\overline{MN}.$ Find $\frac{AC}{AP}.$