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Finding the Fourth Proportional to 3,471.40, 5,194.14 and 3,432.52

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Solution

The fourth proportional to 3,471.40, 5,194.14 and 3,432.52 is: 5,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.40 : 5,194.14 = 3,432.52 : x
  2. Step 2: Convert to fraction form
    3,471.40/5,194.14 = 3,432.52/x
  3. Step 3: Cross multiply
    3,471.40x = 5,194.14 × 3,432.52
  4. Step 4: Simplify right side
    3,471.40x = 17,828,989.43
  5. Step 5: Solve for x
    x = 17,828,989.43/3,471.40
  6. Step 6: Final answer
    x = 5,135.97

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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.