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Finding the Fourth Proportional to 3,247.72, 4,868.65 and 1,167.23

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Solution

The fourth proportional to 3,247.72, 4,868.65 and 1,167.23 is: 1,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.72 : 4,868.65 = 1,167.23 : x
  2. Step 2: Convert to fraction form
    3,247.72/4,868.65 = 1,167.23/x
  3. Step 3: Cross multiply
    3,247.72x = 4,868.65 × 1,167.23
  4. Step 4: Simplify right side
    3,247.72x = 5,682,849.43
  5. Step 5: Solve for x
    x = 5,682,849.43/3,247.72
  6. Step 6: Final answer
    x = 1,749.80

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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.