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Finding the Fourth Proportional to 6,192.91, 8,546.21 and 3,540.38

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Solution

The fourth proportional to 6,192.91, 8,546.21 and 3,540.38 is: 4,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.91 : 8,546.21 = 3,540.38 : x
  2. Step 2: Convert to fraction form
    6,192.91/8,546.21 = 3,540.38/x
  3. Step 3: Cross multiply
    6,192.91x = 8,546.21 × 3,540.38
  4. Step 4: Simplify right side
    6,192.91x = 30,256,793.76
  5. Step 5: Solve for x
    x = 30,256,793.76/6,192.91
  6. Step 6: Final answer
    x = 4,885.72

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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.