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Finding the Fourth Proportional to 5,926.78, 8,891.13 and 2,229.30

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Solution

The fourth proportional to 5,926.78, 8,891.13 and 2,229.30 is: 3,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.78 : 8,891.13 = 2,229.30 : x
  2. Step 2: Convert to fraction form
    5,926.78/8,891.13 = 2,229.30/x
  3. Step 3: Cross multiply
    5,926.78x = 8,891.13 × 2,229.30
  4. Step 4: Simplify right side
    5,926.78x = 19,820,996.11
  5. Step 5: Solve for x
    x = 19,820,996.11/5,926.78
  6. Step 6: Final answer
    x = 3,344.31

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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.