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Finding the Fourth Proportional to 5,716.96, 7,889.70 and 3,198.92

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Solution

The fourth proportional to 5,716.96, 7,889.70 and 3,198.92 is: 4,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.96 : 7,889.70 = 3,198.92 : x
  2. Step 2: Convert to fraction form
    5,716.96/7,889.70 = 3,198.92/x
  3. Step 3: Cross multiply
    5,716.96x = 7,889.70 × 3,198.92
  4. Step 4: Simplify right side
    5,716.96x = 25,238,479.68
  5. Step 5: Solve for x
    x = 25,238,479.68/5,716.96
  6. Step 6: Final answer
    x = 4,414.67

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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.