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Finding the Fourth Proportional to 5,385.64, 7,432.22 and 3,027.76

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Solution

The fourth proportional to 5,385.64, 7,432.22 and 3,027.76 is: 4,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.64 : 7,432.22 = 3,027.76 : x
  2. Step 2: Convert to fraction form
    5,385.64/7,432.22 = 3,027.76/x
  3. Step 3: Cross multiply
    5,385.64x = 7,432.22 × 3,027.76
  4. Step 4: Simplify right side
    5,385.64x = 22,502,978.43
  5. Step 5: Solve for x
    x = 22,502,978.43/5,385.64
  6. Step 6: Final answer
    x = 4,178.33

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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.