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Finding the Fourth Proportional to 5,459.78, 7,534.49 and 3,221.66

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Solution

The fourth proportional to 5,459.78, 7,534.49 and 3,221.66 is: 4,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.78 : 7,534.49 = 3,221.66 : x
  2. Step 2: Convert to fraction form
    5,459.78/7,534.49 = 3,221.66/x
  3. Step 3: Cross multiply
    5,459.78x = 7,534.49 × 3,221.66
  4. Step 4: Simplify right side
    5,459.78x = 24,273,511.27
  5. Step 5: Solve for x
    x = 24,273,511.27/5,459.78
  6. Step 6: Final answer
    x = 4,445.88

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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.