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Finding the Fourth Proportional to 3,538.53, 5,306.42 and 1,197.91

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Solution

The fourth proportional to 3,538.53, 5,306.42 and 1,197.91 is: 1,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.53 : 5,306.42 = 1,197.91 : x
  2. Step 2: Convert to fraction form
    3,538.53/5,306.42 = 1,197.91/x
  3. Step 3: Cross multiply
    3,538.53x = 5,306.42 × 1,197.91
  4. Step 4: Simplify right side
    3,538.53x = 6,356,613.58
  5. Step 5: Solve for x
    x = 6,356,613.58/3,538.53
  6. Step 6: Final answer
    x = 1,796.40

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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.