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Finding the Fourth Proportional to 3,827.44, 5,727.12 and 3,132.40

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Solution

The fourth proportional to 3,827.44, 5,727.12 and 3,132.40 is: 4,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.44 : 5,727.12 = 3,132.40 : x
  2. Step 2: Convert to fraction form
    3,827.44/5,727.12 = 3,132.40/x
  3. Step 3: Cross multiply
    3,827.44x = 5,727.12 × 3,132.40
  4. Step 4: Simplify right side
    3,827.44x = 17,939,630.69
  5. Step 5: Solve for x
    x = 17,939,630.69/3,827.44
  6. Step 6: Final answer
    x = 4,687.11

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