In the given diagram above, triangle \(ABC\) and triangle \(EDC\) are right angled at \(B\) and \(D\) respectively. \(AB=ED=3 \)and \(BC=CD=4\). \(BE\) is joined and line segment \(BE\) intersects \(AC \) at \(M\).

Find the ratio in which \(M\) divides the line segment \(BE\), i.e. find \(BM:ME\).

**Note**: Diagram not to scale.

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