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Finding the Fourth Proportional to 3,711.72, 5,121.96 and 2,032.80

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Solution

The fourth proportional to 3,711.72, 5,121.96 and 2,032.80 is: 2,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.72 : 5,121.96 = 2,032.80 : x
  2. Step 2: Convert to fraction form
    3,711.72/5,121.96 = 2,032.80/x
  3. Step 3: Cross multiply
    3,711.72x = 5,121.96 × 2,032.80
  4. Step 4: Simplify right side
    3,711.72x = 10,411,920.29
  5. Step 5: Solve for x
    x = 10,411,920.29/3,711.72
  6. Step 6: Final answer
    x = 2,805.15

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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.