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Finding the Fourth Proportional to 5,716.25, 7,888.35 and 3,198.32

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Solution

The fourth proportional to 5,716.25, 7,888.35 and 3,198.32 is: 4,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.25 : 7,888.35 = 3,198.32 : x
  2. Step 2: Convert to fraction form
    5,716.25/7,888.35 = 3,198.32/x
  3. Step 3: Cross multiply
    5,716.25x = 7,888.35 × 3,198.32
  4. Step 4: Simplify right side
    5,716.25x = 25,229,428.13
  5. Step 5: Solve for x
    x = 25,229,428.13/5,716.25
  6. Step 6: Final answer
    x = 4,413.64

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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.