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Finding the Fourth Proportional to 3,956.64, 5,926.77 and 2,863.14

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Solution

The fourth proportional to 3,956.64, 5,926.77 and 2,863.14 is: 4,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.64 : 5,926.77 = 2,863.14 : x
  2. Step 2: Convert to fraction form
    3,956.64/5,926.77 = 2,863.14/x
  3. Step 3: Cross multiply
    3,956.64x = 5,926.77 × 2,863.14
  4. Step 4: Simplify right side
    3,956.64x = 16,969,172.26
  5. Step 5: Solve for x
    x = 16,969,172.26/3,956.64
  6. Step 6: Final answer
    x = 4,288.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.