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Finding the Fourth Proportional to 3,983.21, 5,494.17 and 3,089.27

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Solution

The fourth proportional to 3,983.21, 5,494.17 and 3,089.27 is: 4,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.21 : 5,494.17 = 3,089.27 : x
  2. Step 2: Convert to fraction form
    3,983.21/5,494.17 = 3,089.27/x
  3. Step 3: Cross multiply
    3,983.21x = 5,494.17 × 3,089.27
  4. Step 4: Simplify right side
    3,983.21x = 16,972,974.56
  5. Step 5: Solve for x
    x = 16,972,974.56/3,983.21
  6. Step 6: Final answer
    x = 4,261.13

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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.