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Finding the Fourth Proportional to 3,986.06, 5,502.26 and 3,424.27

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Solution

The fourth proportional to 3,986.06, 5,502.26 and 3,424.27 is: 4,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.06 : 5,502.26 = 3,424.27 : x
  2. Step 2: Convert to fraction form
    3,986.06/5,502.26 = 3,424.27/x
  3. Step 3: Cross multiply
    3,986.06x = 5,502.26 × 3,424.27
  4. Step 4: Simplify right side
    3,986.06x = 18,841,223.85
  5. Step 5: Solve for x
    x = 18,841,223.85/3,986.06
  6. Step 6: Final answer
    x = 4,726.78

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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.