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Finding the Fourth Proportional to 3,139.92, 4,711.44 and 2,221.38

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Solution

The fourth proportional to 3,139.92, 4,711.44 and 2,221.38 is: 3,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.92 : 4,711.44 = 2,221.38 : x
  2. Step 2: Convert to fraction form
    3,139.92/4,711.44 = 2,221.38/x
  3. Step 3: Cross multiply
    3,139.92x = 4,711.44 × 2,221.38
  4. Step 4: Simplify right side
    3,139.92x = 10,465,898.59
  5. Step 5: Solve for x
    x = 10,465,898.59/3,139.92
  6. Step 6: Final answer
    x = 3,333.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.