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Finding the Fourth Proportional to 3,474.90, 5,200.20 and 3,183.30

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Solution

The fourth proportional to 3,474.90, 5,200.20 and 3,183.30 is: 4,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.90 : 5,200.20 = 3,183.30 : x
  2. Step 2: Convert to fraction form
    3,474.90/5,200.20 = 3,183.30/x
  3. Step 3: Cross multiply
    3,474.90x = 5,200.20 × 3,183.30
  4. Step 4: Simplify right side
    3,474.90x = 16,553,796.66
  5. Step 5: Solve for x
    x = 16,553,796.66/3,474.90
  6. Step 6: Final answer
    x = 4,763.82

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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.