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Finding the Fourth Proportional to 3,834.76, 5,753.96 and 1,371.48

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Solution

The fourth proportional to 3,834.76, 5,753.96 and 1,371.48 is: 2,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.76 : 5,753.96 = 1,371.48 : x
  2. Step 2: Convert to fraction form
    3,834.76/5,753.96 = 1,371.48/x
  3. Step 3: Cross multiply
    3,834.76x = 5,753.96 × 1,371.48
  4. Step 4: Simplify right side
    3,834.76x = 7,891,441.06
  5. Step 5: Solve for x
    x = 7,891,441.06/3,834.76
  6. Step 6: Final answer
    x = 2,057.87

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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.