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Finding the Fourth Proportional to 3,711.70, 5,121.78 and 2,118.43

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Solution

The fourth proportional to 3,711.70, 5,121.78 and 2,118.43 is: 2,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.70 : 5,121.78 = 2,118.43 : x
  2. Step 2: Convert to fraction form
    3,711.70/5,121.78 = 2,118.43/x
  3. Step 3: Cross multiply
    3,711.70x = 5,121.78 × 2,118.43
  4. Step 4: Simplify right side
    3,711.70x = 10,850,132.41
  5. Step 5: Solve for x
    x = 10,850,132.41/3,711.70
  6. Step 6: Final answer
    x = 2,923.22

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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.