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Finding the Fourth Proportional to 3,974.52, 5,509.97 and 3,763.87

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Solution

The fourth proportional to 3,974.52, 5,509.97 and 3,763.87 is: 5,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.52 : 5,509.97 = 3,763.87 : x
  2. Step 2: Convert to fraction form
    3,974.52/5,509.97 = 3,763.87/x
  3. Step 3: Cross multiply
    3,974.52x = 5,509.97 × 3,763.87
  4. Step 4: Simplify right side
    3,974.52x = 20,738,810.78
  5. Step 5: Solve for x
    x = 20,738,810.78/3,974.52
  6. Step 6: Final answer
    x = 5,217.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.