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Finding the Fourth Proportional to 3,168.13, 4,761.30 and 3,149.90

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Solution

The fourth proportional to 3,168.13, 4,761.30 and 3,149.90 is: 4,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.13 : 4,761.30 = 3,149.90 : x
  2. Step 2: Convert to fraction form
    3,168.13/4,761.30 = 3,149.90/x
  3. Step 3: Cross multiply
    3,168.13x = 4,761.30 × 3,149.90
  4. Step 4: Simplify right side
    3,168.13x = 14,997,618.87
  5. Step 5: Solve for x
    x = 14,997,618.87/3,168.13
  6. Step 6: Final answer
    x = 4,733.90

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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.