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Finding the Fourth Proportional to 3,986.16, 5,489.42 and 3,974.01

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Solution

The fourth proportional to 3,986.16, 5,489.42 and 3,974.01 is: 5,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.16 : 5,489.42 = 3,974.01 : x
  2. Step 2: Convert to fraction form
    3,986.16/5,489.42 = 3,974.01/x
  3. Step 3: Cross multiply
    3,986.16x = 5,489.42 × 3,974.01
  4. Step 4: Simplify right side
    3,986.16x = 21,814,990.10
  5. Step 5: Solve for x
    x = 21,814,990.10/3,986.16
  6. Step 6: Final answer
    x = 5,472.68

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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.