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Finding the Fourth Proportional to 3,589.92, 5,354.76 and 3,434.40

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Solution

The fourth proportional to 3,589.92, 5,354.76 and 3,434.40 is: 5,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.92 : 5,354.76 = 3,434.40 : x
  2. Step 2: Convert to fraction form
    3,589.92/5,354.76 = 3,434.40/x
  3. Step 3: Cross multiply
    3,589.92x = 5,354.76 × 3,434.40
  4. Step 4: Simplify right side
    3,589.92x = 18,390,387.74
  5. Step 5: Solve for x
    x = 18,390,387.74/3,589.92
  6. Step 6: Final answer
    x = 5,122.78

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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.