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Finding the Fourth Proportional to 5,716.38, 7,888.66 and 3,198.62

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Solution

The fourth proportional to 5,716.38, 7,888.66 and 3,198.62 is: 4,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.38 : 7,888.66 = 3,198.62 : x
  2. Step 2: Convert to fraction form
    5,716.38/7,888.66 = 3,198.62/x
  3. Step 3: Cross multiply
    5,716.38x = 7,888.66 × 3,198.62
  4. Step 4: Simplify right side
    5,716.38x = 25,232,825.65
  5. Step 5: Solve for x
    x = 25,232,825.65/5,716.38
  6. Step 6: Final answer
    x = 4,414.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.