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Finding the Fourth Proportional to 5,641.14, 8,463.20 and 2,131.20

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Solution

The fourth proportional to 5,641.14, 8,463.20 and 2,131.20 is: 3,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.14 : 8,463.20 = 2,131.20 : x
  2. Step 2: Convert to fraction form
    5,641.14/8,463.20 = 2,131.20/x
  3. Step 3: Cross multiply
    5,641.14x = 8,463.20 × 2,131.20
  4. Step 4: Simplify right side
    5,641.14x = 18,036,761.18
  5. Step 5: Solve for x
    x = 18,036,761.18/5,641.14
  6. Step 6: Final answer
    x = 3,197.36

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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.