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Finding the Fourth Proportional to 3,761.78, 5,632.20 and 2,834.48

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Solution

The fourth proportional to 3,761.78, 5,632.20 and 2,834.48 is: 4,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.78 : 5,632.20 = 2,834.48 : x
  2. Step 2: Convert to fraction form
    3,761.78/5,632.20 = 2,834.48/x
  3. Step 3: Cross multiply
    3,761.78x = 5,632.20 × 2,834.48
  4. Step 4: Simplify right side
    3,761.78x = 15,964,372.34
  5. Step 5: Solve for x
    x = 15,964,372.34/3,761.78
  6. Step 6: Final answer
    x = 4,243.84

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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.