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Finding the Fourth Proportional to 5,387.72, 8,081.64 and 1,689.80

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Solution

The fourth proportional to 5,387.72, 8,081.64 and 1,689.80 is: 2,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.72 : 8,081.64 = 1,689.80 : x
  2. Step 2: Convert to fraction form
    5,387.72/8,081.64 = 1,689.80/x
  3. Step 3: Cross multiply
    5,387.72x = 8,081.64 × 1,689.80
  4. Step 4: Simplify right side
    5,387.72x = 13,656,355.27
  5. Step 5: Solve for x
    x = 13,656,355.27/5,387.72
  6. Step 6: Final answer
    x = 2,534.72

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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.