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Finding the Fourth Proportional to 3,926.97, 5,891.33 and 2,174.54

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Solution

The fourth proportional to 3,926.97, 5,891.33 and 2,174.54 is: 3,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.97 : 5,891.33 = 2,174.54 : x
  2. Step 2: Convert to fraction form
    3,926.97/5,891.33 = 2,174.54/x
  3. Step 3: Cross multiply
    3,926.97x = 5,891.33 × 2,174.54
  4. Step 4: Simplify right side
    3,926.97x = 12,810,892.41
  5. Step 5: Solve for x
    x = 12,810,892.41/3,926.97
  6. Step 6: Final answer
    x = 3,262.28

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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.