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Finding the Fourth Proportional to 6,751.40, 10,122.30 and 2,589.80

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Solution

The fourth proportional to 6,751.40, 10,122.30 and 2,589.80 is: 3,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.40 : 10,122.30 = 2,589.80 : x
  2. Step 2: Convert to fraction form
    6,751.40/10,122.30 = 2,589.80/x
  3. Step 3: Cross multiply
    6,751.40x = 10,122.30 × 2,589.80
  4. Step 4: Simplify right side
    6,751.40x = 26,214,732.54
  5. Step 5: Solve for x
    x = 26,214,732.54/6,751.40
  6. Step 6: Final answer
    x = 3,882.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.