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Finding the Fourth Proportional to 3,691.33, 5,537.93 and 1,226.16

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Solution

The fourth proportional to 3,691.33, 5,537.93 and 1,226.16 is: 1,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.33 : 5,537.93 = 1,226.16 : x
  2. Step 2: Convert to fraction form
    3,691.33/5,537.93 = 1,226.16/x
  3. Step 3: Cross multiply
    3,691.33x = 5,537.93 × 1,226.16
  4. Step 4: Simplify right side
    3,691.33x = 6,790,375.20
  5. Step 5: Solve for x
    x = 6,790,375.20/3,691.33
  6. Step 6: Final answer
    x = 1,839.55

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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.