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Finding the Fourth Proportional to 3,286.62, 4,930.20 and 1,311.75

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Solution

The fourth proportional to 3,286.62, 4,930.20 and 1,311.75 is: 1,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.62 : 4,930.20 = 1,311.75 : x
  2. Step 2: Convert to fraction form
    3,286.62/4,930.20 = 1,311.75/x
  3. Step 3: Cross multiply
    3,286.62x = 4,930.20 × 1,311.75
  4. Step 4: Simplify right side
    3,286.62x = 6,467,189.85
  5. Step 5: Solve for x
    x = 6,467,189.85/3,286.62
  6. Step 6: Final answer
    x = 1,967.73

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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.