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Finding the Fourth Proportional to 5,408.32, 8,115.20 and 1,947.20

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Solution

The fourth proportional to 5,408.32, 8,115.20 and 1,947.20 is: 2,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.32 : 8,115.20 = 1,947.20 : x
  2. Step 2: Convert to fraction form
    5,408.32/8,115.20 = 1,947.20/x
  3. Step 3: Cross multiply
    5,408.32x = 8,115.20 × 1,947.20
  4. Step 4: Simplify right side
    5,408.32x = 15,801,917.44
  5. Step 5: Solve for x
    x = 15,801,917.44/5,408.32
  6. Step 6: Final answer
    x = 2,921.78

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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.