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Finding the Fourth Proportional to 5,716.52, 7,888.24 and 3,198.48

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Solution

The fourth proportional to 5,716.52, 7,888.24 and 3,198.48 is: 4,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.52 : 7,888.24 = 3,198.48 : x
  2. Step 2: Convert to fraction form
    5,716.52/7,888.24 = 3,198.48/x
  3. Step 3: Cross multiply
    5,716.52x = 7,888.24 × 3,198.48
  4. Step 4: Simplify right side
    5,716.52x = 25,230,377.88
  5. Step 5: Solve for x
    x = 25,230,377.88/5,716.52
  6. Step 6: Final answer
    x = 4,413.59

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1.5x scale

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.