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Finding the Fourth Proportional to 3,827.58, 5,736.54 and 2,072.52

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Solution

The fourth proportional to 3,827.58, 5,736.54 and 2,072.52 is: 3,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.58 : 5,736.54 = 2,072.52 : x
  2. Step 2: Convert to fraction form
    3,827.58/5,736.54 = 2,072.52/x
  3. Step 3: Cross multiply
    3,827.58x = 5,736.54 × 2,072.52
  4. Step 4: Simplify right side
    3,827.58x = 11,889,093.88
  5. Step 5: Solve for x
    x = 11,889,093.88/3,827.58
  6. Step 6: Final answer
    x = 3,106.16

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