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Finding the Fourth Proportional to 3,691.65, 5,537.44 and 1,226.65

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Solution

The fourth proportional to 3,691.65, 5,537.44 and 1,226.65 is: 1,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.65 : 5,537.44 = 1,226.65 : x
  2. Step 2: Convert to fraction form
    3,691.65/5,537.44 = 1,226.65/x
  3. Step 3: Cross multiply
    3,691.65x = 5,537.44 × 1,226.65
  4. Step 4: Simplify right side
    3,691.65x = 6,792,500.78
  5. Step 5: Solve for x
    x = 6,792,500.78/3,691.65
  6. Step 6: Final answer
    x = 1,839.96

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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.