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Finding the Fourth Proportional to 3,986, 5,500.40 and 2,217.56

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Solution

The fourth proportional to 3,986, 5,500.40 and 2,217.56 is: 3,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986 : 5,500.40 = 2,217.56 : x
  2. Step 2: Convert to fraction form
    3,986/5,500.40 = 2,217.56/x
  3. Step 3: Cross multiply
    3,986x = 5,500.40 × 2,217.56
  4. Step 4: Simplify right side
    3,986x = 12,197,467.02
  5. Step 5: Solve for x
    x = 12,197,467.02/3,986
  6. Step 6: Final answer
    x = 3,060.08

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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.