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Finding the Fourth Proportional to 3,972.86, 5,481.94 and 2,204.48

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Solution

The fourth proportional to 3,972.86, 5,481.94 and 2,204.48 is: 3,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.86 : 5,481.94 = 2,204.48 : x
  2. Step 2: Convert to fraction form
    3,972.86/5,481.94 = 2,204.48/x
  3. Step 3: Cross multiply
    3,972.86x = 5,481.94 × 2,204.48
  4. Step 4: Simplify right side
    3,972.86x = 12,084,827.09
  5. Step 5: Solve for x
    x = 12,084,827.09/3,972.86
  6. Step 6: Final answer
    x = 3,041.85

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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.