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Finding the Fourth Proportional to 3,952.71, 5,898.38 and 3,427.83

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Solution

The fourth proportional to 3,952.71, 5,898.38 and 3,427.83 is: 5,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.71 : 5,898.38 = 3,427.83 : x
  2. Step 2: Convert to fraction form
    3,952.71/5,898.38 = 3,427.83/x
  3. Step 3: Cross multiply
    3,952.71x = 5,898.38 × 3,427.83
  4. Step 4: Simplify right side
    3,952.71x = 20,218,626.78
  5. Step 5: Solve for x
    x = 20,218,626.78/3,952.71
  6. Step 6: Final answer
    x = 5,115.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.