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Finding the Fourth Proportional to 3,659.35, 5,489.78 and 1,194.31

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Solution

The fourth proportional to 3,659.35, 5,489.78 and 1,194.31 is: 1,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.35 : 5,489.78 = 1,194.31 : x
  2. Step 2: Convert to fraction form
    3,659.35/5,489.78 = 1,194.31/x
  3. Step 3: Cross multiply
    3,659.35x = 5,489.78 × 1,194.31
  4. Step 4: Simplify right side
    3,659.35x = 6,556,474.69
  5. Step 5: Solve for x
    x = 6,556,474.69/3,659.35
  6. Step 6: Final answer
    x = 1,791.71

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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.