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Finding the Fourth Proportional to 3,489.98, 5,195.39 and 3,471.50

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Solution

The fourth proportional to 3,489.98, 5,195.39 and 3,471.50 is: 5,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.98 : 5,195.39 = 3,471.50 : x
  2. Step 2: Convert to fraction form
    3,489.98/5,195.39 = 3,471.50/x
  3. Step 3: Cross multiply
    3,489.98x = 5,195.39 × 3,471.50
  4. Step 4: Simplify right side
    3,489.98x = 18,035,753.05
  5. Step 5: Solve for x
    x = 18,035,753.05/3,489.98
  6. Step 6: Final answer
    x = 5,167.87

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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.