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Finding the Fourth Proportional to 3,857.89, 5,784.20 and 1,855.52

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Solution

The fourth proportional to 3,857.89, 5,784.20 and 1,855.52 is: 2,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.89 : 5,784.20 = 1,855.52 : x
  2. Step 2: Convert to fraction form
    3,857.89/5,784.20 = 1,855.52/x
  3. Step 3: Cross multiply
    3,857.89x = 5,784.20 × 1,855.52
  4. Step 4: Simplify right side
    3,857.89x = 10,732,695.44
  5. Step 5: Solve for x
    x = 10,732,695.44/3,857.89
  6. Step 6: Final answer
    x = 2,782.01

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