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Finding the Fourth Proportional to 3,926.56, 5,418.72 and 2,158.22

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Solution

The fourth proportional to 3,926.56, 5,418.72 and 2,158.22 is: 2,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.56 : 5,418.72 = 2,158.22 : x
  2. Step 2: Convert to fraction form
    3,926.56/5,418.72 = 2,158.22/x
  3. Step 3: Cross multiply
    3,926.56x = 5,418.72 × 2,158.22
  4. Step 4: Simplify right side
    3,926.56x = 11,694,789.88
  5. Step 5: Solve for x
    x = 11,694,789.88/3,926.56
  6. Step 6: Final answer
    x = 2,978.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.