Home / 3,882.28-5,824.50-2,152.12

Finding the Fourth Proportional to 3,882.28, 5,824.50 and 2,152.12

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Solution

The fourth proportional to 3,882.28, 5,824.50 and 2,152.12 is: 3,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.28 : 5,824.50 = 2,152.12 : x
  2. Step 2: Convert to fraction form
    3,882.28/5,824.50 = 2,152.12/x
  3. Step 3: Cross multiply
    3,882.28x = 5,824.50 × 2,152.12
  4. Step 4: Simplify right side
    3,882.28x = 12,535,022.94
  5. Step 5: Solve for x
    x = 12,535,022.94/3,882.28
  6. Step 6: Final answer
    x = 3,228.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.