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Finding the Fourth Proportional to 3,276.48, 4,517.12 and 3,174.56

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Solution

The fourth proportional to 3,276.48, 4,517.12 and 3,174.56 is: 4,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.48 : 4,517.12 = 3,174.56 : x
  2. Step 2: Convert to fraction form
    3,276.48/4,517.12 = 3,174.56/x
  3. Step 3: Cross multiply
    3,276.48x = 4,517.12 × 3,174.56
  4. Step 4: Simplify right side
    3,276.48x = 14,339,868.47
  5. Step 5: Solve for x
    x = 14,339,868.47/3,276.48
  6. Step 6: Final answer
    x = 4,376.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.