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Finding the Fourth Proportional to 3,538.81, 5,306.17 and 1,198.04

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Solution

The fourth proportional to 3,538.81, 5,306.17 and 1,198.04 is: 1,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.81 : 5,306.17 = 1,198.04 : x
  2. Step 2: Convert to fraction form
    3,538.81/5,306.17 = 1,198.04/x
  3. Step 3: Cross multiply
    3,538.81x = 5,306.17 × 1,198.04
  4. Step 4: Simplify right side
    3,538.81x = 6,357,003.91
  5. Step 5: Solve for x
    x = 6,357,003.91/3,538.81
  6. Step 6: Final answer
    x = 1,796.37

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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.