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Finding the Fourth Proportional to 4,732.38, 6,519.80 and 3,737.30

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Solution

The fourth proportional to 4,732.38, 6,519.80 and 3,737.30 is: 5,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.38 : 6,519.80 = 3,737.30 : x
  2. Step 2: Convert to fraction form
    4,732.38/6,519.80 = 3,737.30/x
  3. Step 3: Cross multiply
    4,732.38x = 6,519.80 × 3,737.30
  4. Step 4: Simplify right side
    4,732.38x = 24,366,448.54
  5. Step 5: Solve for x
    x = 24,366,448.54/4,732.38
  6. Step 6: Final answer
    x = 5,148.88

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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.