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Finding the Fourth Proportional to 3,827.85, 5,736.98 and 2,072.85

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Solution

The fourth proportional to 3,827.85, 5,736.98 and 2,072.85 is: 3,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.85 : 5,736.98 = 2,072.85 : x
  2. Step 2: Convert to fraction form
    3,827.85/5,736.98 = 2,072.85/x
  3. Step 3: Cross multiply
    3,827.85x = 5,736.98 × 2,072.85
  4. Step 4: Simplify right side
    3,827.85x = 11,891,888.63
  5. Step 5: Solve for x
    x = 11,891,888.63/3,827.85
  6. Step 6: Final answer
    x = 3,106.68

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