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Finding the Fourth Proportional to 5,781.70, 8,672.57 and 1,399.15

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Solution

The fourth proportional to 5,781.70, 8,672.57 and 1,399.15 is: 2,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.70 : 8,672.57 = 1,399.15 : x
  2. Step 2: Convert to fraction form
    5,781.70/8,672.57 = 1,399.15/x
  3. Step 3: Cross multiply
    5,781.70x = 8,672.57 × 1,399.15
  4. Step 4: Simplify right side
    5,781.70x = 12,134,175.96
  5. Step 5: Solve for x
    x = 12,134,175.96/5,781.70
  6. Step 6: Final answer
    x = 2,098.72

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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.