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Finding the Fourth Proportional to 3,413.76, 5,120.64 and 1,884.48

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Solution

The fourth proportional to 3,413.76, 5,120.64 and 1,884.48 is: 2,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.76 : 5,120.64 = 1,884.48 : x
  2. Step 2: Convert to fraction form
    3,413.76/5,120.64 = 1,884.48/x
  3. Step 3: Cross multiply
    3,413.76x = 5,120.64 × 1,884.48
  4. Step 4: Simplify right side
    3,413.76x = 9,649,743.67
  5. Step 5: Solve for x
    x = 9,649,743.67/3,413.76
  6. Step 6: Final answer
    x = 2,826.72

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