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Finding the Fourth Proportional to 3,659.81, 5,489.98 and 1,321.20

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Solution

The fourth proportional to 3,659.81, 5,489.98 and 1,321.20 is: 1,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.81 : 5,489.98 = 1,321.20 : x
  2. Step 2: Convert to fraction form
    3,659.81/5,489.98 = 1,321.20/x
  3. Step 3: Cross multiply
    3,659.81x = 5,489.98 × 1,321.20
  4. Step 4: Simplify right side
    3,659.81x = 7,253,358.27
  5. Step 5: Solve for x
    x = 7,253,358.27/3,659.81
  6. Step 6: Final answer
    x = 1,981.90

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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.