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Finding the Fourth Proportional to 3,899.80, 5,849.70 and 3,413.80

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Solution

The fourth proportional to 3,899.80, 5,849.70 and 3,413.80 is: 5,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.80 : 5,849.70 = 3,413.80 : x
  2. Step 2: Convert to fraction form
    3,899.80/5,849.70 = 3,413.80/x
  3. Step 3: Cross multiply
    3,899.80x = 5,849.70 × 3,413.80
  4. Step 4: Simplify right side
    3,899.80x = 19,969,705.86
  5. Step 5: Solve for x
    x = 19,969,705.86/3,899.80
  6. Step 6: Final answer
    x = 5,120.70

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