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Finding the Fourth Proportional to 5,940.92, 8,195.96 and 3,422.43

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Solution

The fourth proportional to 5,940.92, 8,195.96 and 3,422.43 is: 4,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.92 : 8,195.96 = 3,422.43 : x
  2. Step 2: Convert to fraction form
    5,940.92/8,195.96 = 3,422.43/x
  3. Step 3: Cross multiply
    5,940.92x = 8,195.96 × 3,422.43
  4. Step 4: Simplify right side
    5,940.92x = 28,050,099.38
  5. Step 5: Solve for x
    x = 28,050,099.38/5,940.92
  6. Step 6: Final answer
    x = 4,721.51

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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.