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Finding the Fourth Proportional to 3,660.12, 5,489.61 and 1,194.40

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Solution

The fourth proportional to 3,660.12, 5,489.61 and 1,194.40 is: 1,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.12 : 5,489.61 = 1,194.40 : x
  2. Step 2: Convert to fraction form
    3,660.12/5,489.61 = 1,194.40/x
  3. Step 3: Cross multiply
    3,660.12x = 5,489.61 × 1,194.40
  4. Step 4: Simplify right side
    3,660.12x = 6,556,761.69
  5. Step 5: Solve for x
    x = 6,556,761.69/3,660.12
  6. Step 6: Final answer
    x = 1,791.41

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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.