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Finding the Fourth Proportional to 3,589.92, 5,387.58 and 1,397.43

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Solution

The fourth proportional to 3,589.92, 5,387.58 and 1,397.43 is: 2,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.92 : 5,387.58 = 1,397.43 : x
  2. Step 2: Convert to fraction form
    3,589.92/5,387.58 = 1,397.43/x
  3. Step 3: Cross multiply
    3,589.92x = 5,387.58 × 1,397.43
  4. Step 4: Simplify right side
    3,589.92x = 7,528,765.92
  5. Step 5: Solve for x
    x = 7,528,765.92/3,589.92
  6. Step 6: Final answer
    x = 2,097.20

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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.