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Finding the Fourth Proportional to 3,982.80, 5,496.22 and 2,214.37

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Solution

The fourth proportional to 3,982.80, 5,496.22 and 2,214.37 is: 3,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.80 : 5,496.22 = 2,214.37 : x
  2. Step 2: Convert to fraction form
    3,982.80/5,496.22 = 2,214.37/x
  3. Step 3: Cross multiply
    3,982.80x = 5,496.22 × 2,214.37
  4. Step 4: Simplify right side
    3,982.80x = 12,170,664.68
  5. Step 5: Solve for x
    x = 12,170,664.68/3,982.80
  6. Step 6: Final answer
    x = 3,055.81

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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.