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Finding the Fourth Proportional to 5,781.44, 8,672.15 and 1,398.90

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Solution

The fourth proportional to 5,781.44, 8,672.15 and 1,398.90 is: 2,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.44 : 8,672.15 = 1,398.90 : x
  2. Step 2: Convert to fraction form
    5,781.44/8,672.15 = 1,398.90/x
  3. Step 3: Cross multiply
    5,781.44x = 8,672.15 × 1,398.90
  4. Step 4: Simplify right side
    5,781.44x = 12,131,474.13
  5. Step 5: Solve for x
    x = 12,131,474.13/5,781.44
  6. Step 6: Final answer
    x = 2,098.35

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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.