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Finding the Fourth Proportional to 5,496.80, 8,233.05 and 4,260.20

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Solution

The fourth proportional to 5,496.80, 8,233.05 and 4,260.20 is: 6,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.80 : 8,233.05 = 4,260.20 : x
  2. Step 2: Convert to fraction form
    5,496.80/8,233.05 = 4,260.20/x
  3. Step 3: Cross multiply
    5,496.80x = 8,233.05 × 4,260.20
  4. Step 4: Simplify right side
    5,496.80x = 35,074,439.61
  5. Step 5: Solve for x
    x = 35,074,439.61/5,496.80
  6. Step 6: Final answer
    x = 6,380.88

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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.