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Finding the Fourth Proportional to 3,992.54, 5,982.21 and 2,042.06

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Solution

The fourth proportional to 3,992.54, 5,982.21 and 2,042.06 is: 3,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.54 : 5,982.21 = 2,042.06 : x
  2. Step 2: Convert to fraction form
    3,992.54/5,982.21 = 2,042.06/x
  3. Step 3: Cross multiply
    3,992.54x = 5,982.21 × 2,042.06
  4. Step 4: Simplify right side
    3,992.54x = 12,216,031.75
  5. Step 5: Solve for x
    x = 12,216,031.75/3,992.54
  6. Step 6: Final answer
    x = 3,059.71

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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.