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Finding the Fourth Proportional to 4,144.63, 5,721.71 and 3,198.30

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Solution

The fourth proportional to 4,144.63, 5,721.71 and 3,198.30 is: 4,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.63 : 5,721.71 = 3,198.30 : x
  2. Step 2: Convert to fraction form
    4,144.63/5,721.71 = 3,198.30/x
  3. Step 3: Cross multiply
    4,144.63x = 5,721.71 × 3,198.30
  4. Step 4: Simplify right side
    4,144.63x = 18,299,745.09
  5. Step 5: Solve for x
    x = 18,299,745.09/4,144.63
  6. Step 6: Final answer
    x = 4,415.29

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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.