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Finding the Fourth Proportional to 3,793.20, 5,689.08 and 1,327.44

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Solution

The fourth proportional to 3,793.20, 5,689.08 and 1,327.44 is: 1,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.20 : 5,689.08 = 1,327.44 : x
  2. Step 2: Convert to fraction form
    3,793.20/5,689.08 = 1,327.44/x
  3. Step 3: Cross multiply
    3,793.20x = 5,689.08 × 1,327.44
  4. Step 4: Simplify right side
    3,793.20x = 7,551,912.36
  5. Step 5: Solve for x
    x = 7,551,912.36/3,793.20
  6. Step 6: Final answer
    x = 1,990.91

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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.