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Finding the Fourth Proportional to 5,163.98, 7,749 and 2,044.28

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Solution

The fourth proportional to 5,163.98, 7,749 and 2,044.28 is: 3,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.98 : 7,749 = 2,044.28 : x
  2. Step 2: Convert to fraction form
    5,163.98/7,749 = 2,044.28/x
  3. Step 3: Cross multiply
    5,163.98x = 7,749 × 2,044.28
  4. Step 4: Simplify right side
    5,163.98x = 15,841,145.09
  5. Step 5: Solve for x
    x = 15,841,145.09/5,163.98
  6. Step 6: Final answer
    x = 3,067.63

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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.