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Finding the Fourth Proportional to 3,616.82, 4,991.31 and 2,044.88

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Solution

The fourth proportional to 3,616.82, 4,991.31 and 2,044.88 is: 2,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.82 : 4,991.31 = 2,044.88 : x
  2. Step 2: Convert to fraction form
    3,616.82/4,991.31 = 2,044.88/x
  3. Step 3: Cross multiply
    3,616.82x = 4,991.31 × 2,044.88
  4. Step 4: Simplify right side
    3,616.82x = 10,206,605.04
  5. Step 5: Solve for x
    x = 10,206,605.04/3,616.82
  6. Step 6: Final answer
    x = 2,821.99

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