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Finding the Fourth Proportional to 3,980.96, 5,493.54 and 2,212.56

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Solution

The fourth proportional to 3,980.96, 5,493.54 and 2,212.56 is: 3,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.96 : 5,493.54 = 2,212.56 : x
  2. Step 2: Convert to fraction form
    3,980.96/5,493.54 = 2,212.56/x
  3. Step 3: Cross multiply
    3,980.96x = 5,493.54 × 2,212.56
  4. Step 4: Simplify right side
    3,980.96x = 12,154,786.86
  5. Step 5: Solve for x
    x = 12,154,786.86/3,980.96
  6. Step 6: Final answer
    x = 3,053.23

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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.