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Finding the Fourth Proportional to 3,711.87, 5,122.85 and 2,140.47

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Solution

The fourth proportional to 3,711.87, 5,122.85 and 2,140.47 is: 2,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.87 : 5,122.85 = 2,140.47 : x
  2. Step 2: Convert to fraction form
    3,711.87/5,122.85 = 2,140.47/x
  3. Step 3: Cross multiply
    3,711.87x = 5,122.85 × 2,140.47
  4. Step 4: Simplify right side
    3,711.87x = 10,965,296.04
  5. Step 5: Solve for x
    x = 10,965,296.04/3,711.87
  6. Step 6: Final answer
    x = 2,954.12

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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.