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Finding the Fourth Proportional to 3,976.74, 5,965.20 and 2,027.88

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Solution

The fourth proportional to 3,976.74, 5,965.20 and 2,027.88 is: 3,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.74 : 5,965.20 = 2,027.88 : x
  2. Step 2: Convert to fraction form
    3,976.74/5,965.20 = 2,027.88/x
  3. Step 3: Cross multiply
    3,976.74x = 5,965.20 × 2,027.88
  4. Step 4: Simplify right side
    3,976.74x = 12,096,709.78
  5. Step 5: Solve for x
    x = 12,096,709.78/3,976.74
  6. Step 6: Final answer
    x = 3,041.87

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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.