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Finding the Fourth Proportional to 5,789, 7,990.26 and 3,306.44

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Solution

The fourth proportional to 5,789, 7,990.26 and 3,306.44 is: 4,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789 : 7,990.26 = 3,306.44 : x
  2. Step 2: Convert to fraction form
    5,789/7,990.26 = 3,306.44/x
  3. Step 3: Cross multiply
    5,789x = 7,990.26 × 3,306.44
  4. Step 4: Simplify right side
    5,789x = 26,419,315.27
  5. Step 5: Solve for x
    x = 26,419,315.27/5,789
  6. Step 6: Final answer
    x = 4,563.71

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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.