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Finding the Fourth Proportional to 3,757.28, 5,185.43 and 2,163.98

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Solution

The fourth proportional to 3,757.28, 5,185.43 and 2,163.98 is: 2,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.28 : 5,185.43 = 2,163.98 : x
  2. Step 2: Convert to fraction form
    3,757.28/5,185.43 = 2,163.98/x
  3. Step 3: Cross multiply
    3,757.28x = 5,185.43 × 2,163.98
  4. Step 4: Simplify right side
    3,757.28x = 11,221,153.85
  5. Step 5: Solve for x
    x = 11,221,153.85/3,757.28
  6. Step 6: Final answer
    x = 2,986.51

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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.