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Finding the Fourth Proportional to 5,882.17, 8,108.34 and 4,200.61

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Solution

The fourth proportional to 5,882.17, 8,108.34 and 4,200.61 is: 5,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.17 : 8,108.34 = 4,200.61 : x
  2. Step 2: Convert to fraction form
    5,882.17/8,108.34 = 4,200.61/x
  3. Step 3: Cross multiply
    5,882.17x = 8,108.34 × 4,200.61
  4. Step 4: Simplify right side
    5,882.17x = 34,059,974.09
  5. Step 5: Solve for x
    x = 34,059,974.09/5,882.17
  6. Step 6: Final answer
    x = 5,790.38

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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.