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Finding the Fourth Proportional to 5,398.88, 8,098.32 and 3,663.20

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Solution

The fourth proportional to 5,398.88, 8,098.32 and 3,663.20 is: 5,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.88 : 8,098.32 = 3,663.20 : x
  2. Step 2: Convert to fraction form
    5,398.88/8,098.32 = 3,663.20/x
  3. Step 3: Cross multiply
    5,398.88x = 8,098.32 × 3,663.20
  4. Step 4: Simplify right side
    5,398.88x = 29,665,765.82
  5. Step 5: Solve for x
    x = 29,665,765.82/5,398.88
  6. Step 6: Final answer
    x = 5,494.80

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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.