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Finding the Fourth Proportional to 3,820.80, 5,742.68 and 3,167.00

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Solution

The fourth proportional to 3,820.80, 5,742.68 and 3,167.00 is: 4,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.80 : 5,742.68 = 3,167.00 : x
  2. Step 2: Convert to fraction form
    3,820.80/5,742.68 = 3,167.00/x
  3. Step 3: Cross multiply
    3,820.80x = 5,742.68 × 3,167.00
  4. Step 4: Simplify right side
    3,820.80x = 18,187,023.01
  5. Step 5: Solve for x
    x = 18,187,023.01/3,820.80
  6. Step 6: Final answer
    x = 4,760.00

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