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Finding the Fourth Proportional to 5,385.74, 7,432.24 and 3,027.82

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Solution

The fourth proportional to 5,385.74, 7,432.24 and 3,027.82 is: 4,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.74 : 7,432.24 = 3,027.82 : x
  2. Step 2: Convert to fraction form
    5,385.74/7,432.24 = 3,027.82/x
  3. Step 3: Cross multiply
    5,385.74x = 7,432.24 × 3,027.82
  4. Step 4: Simplify right side
    5,385.74x = 22,503,484.92
  5. Step 5: Solve for x
    x = 22,503,484.92/5,385.74
  6. Step 6: Final answer
    x = 4,178.35

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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.