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Finding the Fourth Proportional to 3,822.75, 5,733.32 and 3,096.45

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Solution

The fourth proportional to 3,822.75, 5,733.32 and 3,096.45 is: 4,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.75 : 5,733.32 = 3,096.45 : x
  2. Step 2: Convert to fraction form
    3,822.75/5,733.32 = 3,096.45/x
  3. Step 3: Cross multiply
    3,822.75x = 5,733.32 × 3,096.45
  4. Step 4: Simplify right side
    3,822.75x = 17,752,923.23
  5. Step 5: Solve for x
    x = 17,752,923.23/3,822.75
  6. Step 6: Final answer
    x = 4,644.02

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