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Finding the Fourth Proportional to 3,247.92, 4,872.76 and 1,168.16

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Solution

The fourth proportional to 3,247.92, 4,872.76 and 1,168.16 is: 1,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.92 : 4,872.76 = 1,168.16 : x
  2. Step 2: Convert to fraction form
    3,247.92/4,872.76 = 1,168.16/x
  3. Step 3: Cross multiply
    3,247.92x = 4,872.76 × 1,168.16
  4. Step 4: Simplify right side
    3,247.92x = 5,692,136.04
  5. Step 5: Solve for x
    x = 5,692,136.04/3,247.92
  6. Step 6: Final answer
    x = 1,752.55

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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.