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Finding the Fourth Proportional to 3,616.87, 4,991.22 and 2,044.97

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Solution

The fourth proportional to 3,616.87, 4,991.22 and 2,044.97 is: 2,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.87 : 4,991.22 = 2,044.97 : x
  2. Step 2: Convert to fraction form
    3,616.87/4,991.22 = 2,044.97/x
  3. Step 3: Cross multiply
    3,616.87x = 4,991.22 × 2,044.97
  4. Step 4: Simplify right side
    3,616.87x = 10,206,895.16
  5. Step 5: Solve for x
    x = 10,206,895.16/3,616.87
  6. Step 6: Final answer
    x = 2,822.02

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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.