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Finding the Fourth Proportional to 3,847, 5,311.26 and 2,961.12

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Solution

The fourth proportional to 3,847, 5,311.26 and 2,961.12 is: 4,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847 : 5,311.26 = 2,961.12 : x
  2. Step 2: Convert to fraction form
    3,847/5,311.26 = 2,961.12/x
  3. Step 3: Cross multiply
    3,847x = 5,311.26 × 2,961.12
  4. Step 4: Simplify right side
    3,847x = 15,727,278.21
  5. Step 5: Solve for x
    x = 15,727,278.21/3,847
  6. Step 6: Final answer
    x = 4,088.19

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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.