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Finding the Fourth Proportional to 5,414.42, 8,116.76 and 4,495.88

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Solution

The fourth proportional to 5,414.42, 8,116.76 and 4,495.88 is: 6,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.42 : 8,116.76 = 4,495.88 : x
  2. Step 2: Convert to fraction form
    5,414.42/8,116.76 = 4,495.88/x
  3. Step 3: Cross multiply
    5,414.42x = 8,116.76 × 4,495.88
  4. Step 4: Simplify right side
    5,414.42x = 36,491,978.95
  5. Step 5: Solve for x
    x = 36,491,978.95/5,414.42
  6. Step 6: Final answer
    x = 6,739.78

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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.