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Finding the Fourth Proportional to 3,108, 4,286.28 and 2,221.92

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Solution

The fourth proportional to 3,108, 4,286.28 and 2,221.92 is: 3,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108 : 4,286.28 = 2,221.92 : x
  2. Step 2: Convert to fraction form
    3,108/4,286.28 = 2,221.92/x
  3. Step 3: Cross multiply
    3,108x = 4,286.28 × 2,221.92
  4. Step 4: Simplify right side
    3,108x = 9,523,771.26
  5. Step 5: Solve for x
    x = 9,523,771.26/3,108
  6. Step 6: Final answer
    x = 3,064.28

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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.