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Finding the Fourth Proportional to 3,891.30, 5,842.77 and 2,227.30

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Solution

The fourth proportional to 3,891.30, 5,842.77 and 2,227.30 is: 3,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.30 : 5,842.77 = 2,227.30 : x
  2. Step 2: Convert to fraction form
    3,891.30/5,842.77 = 2,227.30/x
  3. Step 3: Cross multiply
    3,891.30x = 5,842.77 × 2,227.30
  4. Step 4: Simplify right side
    3,891.30x = 13,013,578.66
  5. Step 5: Solve for x
    x = 13,013,578.66/3,891.30
  6. Step 6: Final answer
    x = 3,344.28

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