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Finding the Fourth Proportional to 5,843.09, 8,761.65 and 2,144.36

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Solution

The fourth proportional to 5,843.09, 8,761.65 and 2,144.36 is: 3,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.09 : 8,761.65 = 2,144.36 : x
  2. Step 2: Convert to fraction form
    5,843.09/8,761.65 = 2,144.36/x
  3. Step 3: Cross multiply
    5,843.09x = 8,761.65 × 2,144.36
  4. Step 4: Simplify right side
    5,843.09x = 18,788,131.79
  5. Step 5: Solve for x
    x = 18,788,131.79/5,843.09
  6. Step 6: Final answer
    x = 3,215.44

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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.