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Finding the Fourth Proportional to 3,691.26, 5,537.79 and 1,843.26

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Solution

The fourth proportional to 3,691.26, 5,537.79 and 1,843.26 is: 2,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.26 : 5,537.79 = 1,843.26 : x
  2. Step 2: Convert to fraction form
    3,691.26/5,537.79 = 1,843.26/x
  3. Step 3: Cross multiply
    3,691.26x = 5,537.79 × 1,843.26
  4. Step 4: Simplify right side
    3,691.26x = 10,207,586.80
  5. Step 5: Solve for x
    x = 10,207,586.80/3,691.26
  6. Step 6: Final answer
    x = 2,765.34

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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.