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Finding the Fourth Proportional to 3,247.52, 4,869.15 and 1,166.48

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Solution

The fourth proportional to 3,247.52, 4,869.15 and 1,166.48 is: 1,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.52 : 4,869.15 = 1,166.48 : x
  2. Step 2: Convert to fraction form
    3,247.52/4,869.15 = 1,166.48/x
  3. Step 3: Cross multiply
    3,247.52x = 4,869.15 × 1,166.48
  4. Step 4: Simplify right side
    3,247.52x = 5,679,766.09
  5. Step 5: Solve for x
    x = 5,679,766.09/3,247.52
  6. Step 6: Final answer
    x = 1,748.95

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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.