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Finding the Fourth Proportional to 5,385.72, 7,432.27 and 3,027.88

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Solution

The fourth proportional to 5,385.72, 7,432.27 and 3,027.88 is: 4,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.72 : 7,432.27 = 3,027.88 : x
  2. Step 2: Convert to fraction form
    5,385.72/7,432.27 = 3,027.88/x
  3. Step 3: Cross multiply
    5,385.72x = 7,432.27 × 3,027.88
  4. Step 4: Simplify right side
    5,385.72x = 22,504,021.69
  5. Step 5: Solve for x
    x = 22,504,021.69/5,385.72
  6. Step 6: Final answer
    x = 4,178.46

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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.