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Finding the Fourth Proportional to 3,538.60, 5,304.17 and 1,197.79

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Solution

The fourth proportional to 3,538.60, 5,304.17 and 1,197.79 is: 1,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.60 : 5,304.17 = 1,197.79 : x
  2. Step 2: Convert to fraction form
    3,538.60/5,304.17 = 1,197.79/x
  3. Step 3: Cross multiply
    3,538.60x = 5,304.17 × 1,197.79
  4. Step 4: Simplify right side
    3,538.60x = 6,353,271.52
  5. Step 5: Solve for x
    x = 6,353,271.52/3,538.60
  6. Step 6: Final answer
    x = 1,795.42

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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.