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Finding the Fourth Proportional to 3,413.66, 5,115.90 and 1,766.75

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Solution

The fourth proportional to 3,413.66, 5,115.90 and 1,766.75 is: 2,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.66 : 5,115.90 = 1,766.75 : x
  2. Step 2: Convert to fraction form
    3,413.66/5,115.90 = 1,766.75/x
  3. Step 3: Cross multiply
    3,413.66x = 5,115.90 × 1,766.75
  4. Step 4: Simplify right side
    3,413.66x = 9,038,516.33
  5. Step 5: Solve for x
    x = 9,038,516.33/3,413.66
  6. Step 6: Final answer
    x = 2,647.75

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