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Finding the Fourth Proportional to 5,238.47, 7,857.61 and 1,342.88

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Solution

The fourth proportional to 5,238.47, 7,857.61 and 1,342.88 is: 2,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.47 : 7,857.61 = 1,342.88 : x
  2. Step 2: Convert to fraction form
    5,238.47/7,857.61 = 1,342.88/x
  3. Step 3: Cross multiply
    5,238.47x = 7,857.61 × 1,342.88
  4. Step 4: Simplify right side
    5,238.47x = 10,551,814.14
  5. Step 5: Solve for x
    x = 10,551,814.14/5,238.47
  6. Step 6: Final answer
    x = 2,014.29

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