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Finding the Fourth Proportional to 3,711.86, 5,122.25 and 2,033.22

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Solution

The fourth proportional to 3,711.86, 5,122.25 and 2,033.22 is: 2,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.86 : 5,122.25 = 2,033.22 : x
  2. Step 2: Convert to fraction form
    3,711.86/5,122.25 = 2,033.22/x
  3. Step 3: Cross multiply
    3,711.86x = 5,122.25 × 2,033.22
  4. Step 4: Simplify right side
    3,711.86x = 10,414,663.78
  5. Step 5: Solve for x
    x = 10,414,663.78/3,711.86
  6. Step 6: Final answer
    x = 2,805.78

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1.5x scale

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.