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Finding the Fourth Proportional to 4,935.36, 6,807.36 and 3,257.28

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Solution

The fourth proportional to 4,935.36, 6,807.36 and 3,257.28 is: 4,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.36 : 6,807.36 = 3,257.28 : x
  2. Step 2: Convert to fraction form
    4,935.36/6,807.36 = 3,257.28/x
  3. Step 3: Cross multiply
    4,935.36x = 6,807.36 × 3,257.28
  4. Step 4: Simplify right side
    4,935.36x = 22,173,477.58
  5. Step 5: Solve for x
    x = 22,173,477.58/4,935.36
  6. Step 6: Final answer
    x = 4,492.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.