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Finding the Fourth Proportional to 5,694.87, 7,853.94 and 4,371.33

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Solution

The fourth proportional to 5,694.87, 7,853.94 and 4,371.33 is: 6,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.87 : 7,853.94 = 4,371.33 : x
  2. Step 2: Convert to fraction form
    5,694.87/7,853.94 = 4,371.33/x
  3. Step 3: Cross multiply
    5,694.87x = 7,853.94 × 4,371.33
  4. Step 4: Simplify right side
    5,694.87x = 34,332,163.54
  5. Step 5: Solve for x
    x = 34,332,163.54/5,694.87
  6. Step 6: Final answer
    x = 6,028.61

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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.