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Finding the Fourth Proportional to 5,359.20, 8,035.42 and 1,660.20

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Solution

The fourth proportional to 5,359.20, 8,035.42 and 1,660.20 is: 2,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.20 : 8,035.42 = 1,660.20 : x
  2. Step 2: Convert to fraction form
    5,359.20/8,035.42 = 1,660.20/x
  3. Step 3: Cross multiply
    5,359.20x = 8,035.42 × 1,660.20
  4. Step 4: Simplify right side
    5,359.20x = 13,340,404.28
  5. Step 5: Solve for x
    x = 13,340,404.28/5,359.20
  6. Step 6: Final answer
    x = 2,489.25

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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.