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Finding the Fourth Proportional to 3,761.79, 5,632.17 and 2,834.53

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Solution

The fourth proportional to 3,761.79, 5,632.17 and 2,834.53 is: 4,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.79 : 5,632.17 = 2,834.53 : x
  2. Step 2: Convert to fraction form
    3,761.79/5,632.17 = 2,834.53/x
  3. Step 3: Cross multiply
    3,761.79x = 5,632.17 × 2,834.53
  4. Step 4: Simplify right side
    3,761.79x = 15,964,554.83
  5. Step 5: Solve for x
    x = 15,964,554.83/3,761.79
  6. Step 6: Final answer
    x = 4,243.87

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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.