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Finding the Fourth Proportional to 3,980.52, 5,493.46 and 2,212.48

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Solution

The fourth proportional to 3,980.52, 5,493.46 and 2,212.48 is: 3,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.52 : 5,493.46 = 2,212.48 : x
  2. Step 2: Convert to fraction form
    3,980.52/5,493.46 = 2,212.48/x
  3. Step 3: Cross multiply
    3,980.52x = 5,493.46 × 2,212.48
  4. Step 4: Simplify right side
    3,980.52x = 12,154,170.38
  5. Step 5: Solve for x
    x = 12,154,170.38/3,980.52
  6. Step 6: Final answer
    x = 3,053.41

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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.