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Finding the Fourth Proportional to 3,660.72, 5,489.92 and 1,194.97

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Solution

The fourth proportional to 3,660.72, 5,489.92 and 1,194.97 is: 1,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.72 : 5,489.92 = 1,194.97 : x
  2. Step 2: Convert to fraction form
    3,660.72/5,489.92 = 1,194.97/x
  3. Step 3: Cross multiply
    3,660.72x = 5,489.92 × 1,194.97
  4. Step 4: Simplify right side
    3,660.72x = 6,560,289.70
  5. Step 5: Solve for x
    x = 6,560,289.70/3,660.72
  6. Step 6: Final answer
    x = 1,792.08

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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.