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Finding the Fourth Proportional to 3,691.78, 5,538.27 and 1,226.34

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Solution

The fourth proportional to 3,691.78, 5,538.27 and 1,226.34 is: 1,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.78 : 5,538.27 = 1,226.34 : x
  2. Step 2: Convert to fraction form
    3,691.78/5,538.27 = 1,226.34/x
  3. Step 3: Cross multiply
    3,691.78x = 5,538.27 × 1,226.34
  4. Step 4: Simplify right side
    3,691.78x = 6,791,806.63
  5. Step 5: Solve for x
    x = 6,791,806.63/3,691.78
  6. Step 6: Final answer
    x = 1,839.71

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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.