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Finding the Fourth Proportional to 5,355.28, 8,033.20 and 1,459.20

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Solution

The fourth proportional to 5,355.28, 8,033.20 and 1,459.20 is: 2,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.28 : 8,033.20 = 1,459.20 : x
  2. Step 2: Convert to fraction form
    5,355.28/8,033.20 = 1,459.20/x
  3. Step 3: Cross multiply
    5,355.28x = 8,033.20 × 1,459.20
  4. Step 4: Simplify right side
    5,355.28x = 11,722,045.44
  5. Step 5: Solve for x
    x = 11,722,045.44/5,355.28
  6. Step 6: Final answer
    x = 2,188.88

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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.