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Finding the Fourth Proportional to 5,716.71, 7,888.59 and 3,198.69

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Solution

The fourth proportional to 5,716.71, 7,888.59 and 3,198.69 is: 4,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.71 : 7,888.59 = 3,198.69 : x
  2. Step 2: Convert to fraction form
    5,716.71/7,888.59 = 3,198.69/x
  3. Step 3: Cross multiply
    5,716.71x = 7,888.59 × 3,198.69
  4. Step 4: Simplify right side
    5,716.71x = 25,233,153.95
  5. Step 5: Solve for x
    x = 25,233,153.95/5,716.71
  6. Step 6: Final answer
    x = 4,413.93

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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.