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Finding the Fourth Proportional to 5,385.68, 7,432.90 and 3,027.82

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Solution

The fourth proportional to 5,385.68, 7,432.90 and 3,027.82 is: 4,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.68 : 7,432.90 = 3,027.82 : x
  2. Step 2: Convert to fraction form
    5,385.68/7,432.90 = 3,027.82/x
  3. Step 3: Cross multiply
    5,385.68x = 7,432.90 × 3,027.82
  4. Step 4: Simplify right side
    5,385.68x = 22,505,430.97
  5. Step 5: Solve for x
    x = 22,505,430.97/5,385.68
  6. Step 6: Final answer
    x = 4,178.76

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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.