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Finding the Fourth Proportional to 3,980.82, 5,493.90 and 2,212.56

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Solution

The fourth proportional to 3,980.82, 5,493.90 and 2,212.56 is: 3,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.82 : 5,493.90 = 2,212.56 : x
  2. Step 2: Convert to fraction form
    3,980.82/5,493.90 = 2,212.56/x
  3. Step 3: Cross multiply
    3,980.82x = 5,493.90 × 2,212.56
  4. Step 4: Simplify right side
    3,980.82x = 12,155,583.38
  5. Step 5: Solve for x
    x = 12,155,583.38/3,980.82
  6. Step 6: Final answer
    x = 3,053.54

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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.