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Finding the Fourth Proportional to 3,247.62, 4,868.52 and 1,167.15

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Solution

The fourth proportional to 3,247.62, 4,868.52 and 1,167.15 is: 1,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.62 : 4,868.52 = 1,167.15 : x
  2. Step 2: Convert to fraction form
    3,247.62/4,868.52 = 1,167.15/x
  3. Step 3: Cross multiply
    3,247.62x = 4,868.52 × 1,167.15
  4. Step 4: Simplify right side
    3,247.62x = 5,682,293.12
  5. Step 5: Solve for x
    x = 5,682,293.12/3,247.62
  6. Step 6: Final answer
    x = 1,749.68

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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.