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Finding the Fourth Proportional to 5,413.60, 8,096.10 and 4,538.80

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Solution

The fourth proportional to 5,413.60, 8,096.10 and 4,538.80 is: 6,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.60 : 8,096.10 = 4,538.80 : x
  2. Step 2: Convert to fraction form
    5,413.60/8,096.10 = 4,538.80/x
  3. Step 3: Cross multiply
    5,413.60x = 8,096.10 × 4,538.80
  4. Step 4: Simplify right side
    5,413.60x = 36,746,578.68
  5. Step 5: Solve for x
    x = 36,746,578.68/5,413.60
  6. Step 6: Final answer
    x = 6,787.83

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