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Finding the Fourth Proportional to 3,827.36, 5,742.88 and 2,855.36

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Solution

The fourth proportional to 3,827.36, 5,742.88 and 2,855.36 is: 4,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.36 : 5,742.88 = 2,855.36 : x
  2. Step 2: Convert to fraction form
    3,827.36/5,742.88 = 2,855.36/x
  3. Step 3: Cross multiply
    3,827.36x = 5,742.88 × 2,855.36
  4. Step 4: Simplify right side
    3,827.36x = 16,397,989.84
  5. Step 5: Solve for x
    x = 16,397,989.84/3,827.36
  6. Step 6: Final answer
    x = 4,284.41

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