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Finding the Fourth Proportional to 3,659.73, 5,489.19 and 1,194.36

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Solution

The fourth proportional to 3,659.73, 5,489.19 and 1,194.36 is: 1,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.73 : 5,489.19 = 1,194.36 : x
  2. Step 2: Convert to fraction form
    3,659.73/5,489.19 = 1,194.36/x
  3. Step 3: Cross multiply
    3,659.73x = 5,489.19 × 1,194.36
  4. Step 4: Simplify right side
    3,659.73x = 6,556,068.97
  5. Step 5: Solve for x
    x = 6,556,068.97/3,659.73
  6. Step 6: Final answer
    x = 1,791.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.