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Finding the Fourth Proportional to 3,846.41, 5,769.73 and 1,213.94

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Solution

The fourth proportional to 3,846.41, 5,769.73 and 1,213.94 is: 1,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.41 : 5,769.73 = 1,213.94 : x
  2. Step 2: Convert to fraction form
    3,846.41/5,769.73 = 1,213.94/x
  3. Step 3: Cross multiply
    3,846.41x = 5,769.73 × 1,213.94
  4. Step 4: Simplify right side
    3,846.41x = 7,004,078.70
  5. Step 5: Solve for x
    x = 7,004,078.70/3,846.41
  6. Step 6: Final answer
    x = 1,820.94

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