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Finding the Fourth Proportional to 3,842.52, 5,760.90 and 2,111.64

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Solution

The fourth proportional to 3,842.52, 5,760.90 and 2,111.64 is: 3,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.52 : 5,760.90 = 2,111.64 : x
  2. Step 2: Convert to fraction form
    3,842.52/5,760.90 = 2,111.64/x
  3. Step 3: Cross multiply
    3,842.52x = 5,760.90 × 2,111.64
  4. Step 4: Simplify right side
    3,842.52x = 12,164,946.88
  5. Step 5: Solve for x
    x = 12,164,946.88/3,842.52
  6. Step 6: Final answer
    x = 3,165.88

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