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Finding the Fourth Proportional to 3,711.92, 5,122.32 and 2,139.68

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Solution

The fourth proportional to 3,711.92, 5,122.32 and 2,139.68 is: 2,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.92 : 5,122.32 = 2,139.68 : x
  2. Step 2: Convert to fraction form
    3,711.92/5,122.32 = 2,139.68/x
  3. Step 3: Cross multiply
    3,711.92x = 5,122.32 × 2,139.68
  4. Step 4: Simplify right side
    3,711.92x = 10,960,125.66
  5. Step 5: Solve for x
    x = 10,960,125.66/3,711.92
  6. Step 6: Final answer
    x = 2,952.68

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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.