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Finding the Fourth Proportional to 3,980.72, 5,493.22 and 2,212.43

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Solution

The fourth proportional to 3,980.72, 5,493.22 and 2,212.43 is: 3,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.72 : 5,493.22 = 2,212.43 : x
  2. Step 2: Convert to fraction form
    3,980.72/5,493.22 = 2,212.43/x
  3. Step 3: Cross multiply
    3,980.72x = 5,493.22 × 2,212.43
  4. Step 4: Simplify right side
    3,980.72x = 12,153,331.73
  5. Step 5: Solve for x
    x = 12,153,331.73/3,980.72
  6. Step 6: Final answer
    x = 3,053.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.