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Finding the Fourth Proportional to 5,163.69, 7,737 and 2,694.81

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Solution

The fourth proportional to 5,163.69, 7,737 and 2,694.81 is: 4,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.69 : 7,737 = 2,694.81 : x
  2. Step 2: Convert to fraction form
    5,163.69/7,737 = 2,694.81/x
  3. Step 3: Cross multiply
    5,163.69x = 7,737 × 2,694.81
  4. Step 4: Simplify right side
    5,163.69x = 20,849,744.97
  5. Step 5: Solve for x
    x = 20,849,744.97/5,163.69
  6. Step 6: Final answer
    x = 4,037.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.