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Finding the Fourth Proportional to 5,163.46, 7,694.37 and 4,851.78

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Solution

The fourth proportional to 5,163.46, 7,694.37 and 4,851.78 is: 7,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.46 : 7,694.37 = 4,851.78 : x
  2. Step 2: Convert to fraction form
    5,163.46/7,694.37 = 4,851.78/x
  3. Step 3: Cross multiply
    5,163.46x = 7,694.37 × 4,851.78
  4. Step 4: Simplify right side
    5,163.46x = 37,331,390.48
  5. Step 5: Solve for x
    x = 37,331,390.48/5,163.46
  6. Step 6: Final answer
    x = 7,229.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.