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Finding the Fourth Proportional to 3,843.52, 5,762.40 and 2,112.64

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Solution

The fourth proportional to 3,843.52, 5,762.40 and 2,112.64 is: 3,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.52 : 5,762.40 = 2,112.64 : x
  2. Step 2: Convert to fraction form
    3,843.52/5,762.40 = 2,112.64/x
  3. Step 3: Cross multiply
    3,843.52x = 5,762.40 × 2,112.64
  4. Step 4: Simplify right side
    3,843.52x = 12,173,876.74
  5. Step 5: Solve for x
    x = 12,173,876.74/3,843.52
  6. Step 6: Final answer
    x = 3,167.38

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