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Finding the Fourth Proportional to 3,987.92, 5,982.48 and 2,039.46

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Solution

The fourth proportional to 3,987.92, 5,982.48 and 2,039.46 is: 3,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.92 : 5,982.48 = 2,039.46 : x
  2. Step 2: Convert to fraction form
    3,987.92/5,982.48 = 2,039.46/x
  3. Step 3: Cross multiply
    3,987.92x = 5,982.48 × 2,039.46
  4. Step 4: Simplify right side
    3,987.92x = 12,201,028.66
  5. Step 5: Solve for x
    x = 12,201,028.66/3,987.92
  6. Step 6: Final answer
    x = 3,059.50

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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.