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Finding the Fourth Proportional to 4,737.52, 6,535.92 and 2,747.71

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Solution

The fourth proportional to 4,737.52, 6,535.92 and 2,747.71 is: 3,790.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.52 : 6,535.92 = 2,747.71 : x
  2. Step 2: Convert to fraction form
    4,737.52/6,535.92 = 2,747.71/x
  3. Step 3: Cross multiply
    4,737.52x = 6,535.92 × 2,747.71
  4. Step 4: Simplify right side
    4,737.52x = 17,958,812.74
  5. Step 5: Solve for x
    x = 17,958,812.74/4,737.52
  6. Step 6: Final answer
    x = 3,790.76

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