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Finding the Fourth Proportional to 3,838.16, 5,751.84 and 2,192.24

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Solution

The fourth proportional to 3,838.16, 5,751.84 and 2,192.24 is: 3,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.16 : 5,751.84 = 2,192.24 : x
  2. Step 2: Convert to fraction form
    3,838.16/5,751.84 = 2,192.24/x
  3. Step 3: Cross multiply
    3,838.16x = 5,751.84 × 2,192.24
  4. Step 4: Simplify right side
    3,838.16x = 12,609,413.72
  5. Step 5: Solve for x
    x = 12,609,413.72/3,838.16
  6. Step 6: Final answer
    x = 3,285.28

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