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Finding the Fourth Proportional to 5,531.28, 7,634.16 and 3,174.20

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Solution

The fourth proportional to 5,531.28, 7,634.16 and 3,174.20 is: 4,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.28 : 7,634.16 = 3,174.20 : x
  2. Step 2: Convert to fraction form
    5,531.28/7,634.16 = 3,174.20/x
  3. Step 3: Cross multiply
    5,531.28x = 7,634.16 × 3,174.20
  4. Step 4: Simplify right side
    5,531.28x = 24,232,350.67
  5. Step 5: Solve for x
    x = 24,232,350.67/5,531.28
  6. Step 6: Final answer
    x = 4,380.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.