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Finding the Fourth Proportional to 3,821.09, 5,757.74 and 3,142.98

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Solution

The fourth proportional to 3,821.09, 5,757.74 and 3,142.98 is: 4,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.09 : 5,757.74 = 3,142.98 : x
  2. Step 2: Convert to fraction form
    3,821.09/5,757.74 = 3,142.98/x
  3. Step 3: Cross multiply
    3,821.09x = 5,757.74 × 3,142.98
  4. Step 4: Simplify right side
    3,821.09x = 18,096,445.95
  5. Step 5: Solve for x
    x = 18,096,445.95/3,821.09
  6. Step 6: Final answer
    x = 4,735.94

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