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Finding the Fourth Proportional to 3,616.34, 4,990.55 and 2,044.42

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Solution

The fourth proportional to 3,616.34, 4,990.55 and 2,044.42 is: 2,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.34 : 4,990.55 = 2,044.42 : x
  2. Step 2: Convert to fraction form
    3,616.34/4,990.55 = 2,044.42/x
  3. Step 3: Cross multiply
    3,616.34x = 4,990.55 × 2,044.42
  4. Step 4: Simplify right side
    3,616.34x = 10,202,780.23
  5. Step 5: Solve for x
    x = 10,202,780.23/3,616.34
  6. Step 6: Final answer
    x = 2,821.30

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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.