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Finding the Fourth Proportional to 3,840.21, 5,754.42 and 2,277.14

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Solution

The fourth proportional to 3,840.21, 5,754.42 and 2,277.14 is: 3,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.21 : 5,754.42 = 2,277.14 : x
  2. Step 2: Convert to fraction form
    3,840.21/5,754.42 = 2,277.14/x
  3. Step 3: Cross multiply
    3,840.21x = 5,754.42 × 2,277.14
  4. Step 4: Simplify right side
    3,840.21x = 13,103,591.19
  5. Step 5: Solve for x
    x = 13,103,591.19/3,840.21
  6. Step 6: Final answer
    x = 3,412.21

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