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Finding the Fourth Proportional to 3,992.87, 5,949.19 and 3,769.31

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Solution

The fourth proportional to 3,992.87, 5,949.19 and 3,769.31 is: 5,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.87 : 5,949.19 = 3,769.31 : x
  2. Step 2: Convert to fraction form
    3,992.87/5,949.19 = 3,769.31/x
  3. Step 3: Cross multiply
    3,992.87x = 5,949.19 × 3,769.31
  4. Step 4: Simplify right side
    3,992.87x = 22,424,339.74
  5. Step 5: Solve for x
    x = 22,424,339.74/3,992.87
  6. Step 6: Final answer
    x = 5,616.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.