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Finding the Fourth Proportional to 3,413.69, 5,112.34 and 1,948.40

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Solution

The fourth proportional to 3,413.69, 5,112.34 and 1,948.40 is: 2,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.69 : 5,112.34 = 1,948.40 : x
  2. Step 2: Convert to fraction form
    3,413.69/5,112.34 = 1,948.40/x
  3. Step 3: Cross multiply
    3,413.69x = 5,112.34 × 1,948.40
  4. Step 4: Simplify right side
    3,413.69x = 9,960,891.17
  5. Step 5: Solve for x
    x = 9,960,891.17/3,413.69
  6. Step 6: Final answer
    x = 2,917.92

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