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Finding the Fourth Proportional to 5,716.58, 7,887.76 and 3,198.80

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Solution

The fourth proportional to 5,716.58, 7,887.76 and 3,198.80 is: 4,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.58 : 7,887.76 = 3,198.80 : x
  2. Step 2: Convert to fraction form
    5,716.58/7,887.76 = 3,198.80/x
  3. Step 3: Cross multiply
    5,716.58x = 7,887.76 × 3,198.80
  4. Step 4: Simplify right side
    5,716.58x = 25,231,378.41
  5. Step 5: Solve for x
    x = 25,231,378.41/5,716.58
  6. Step 6: Final answer
    x = 4,413.72

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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.