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Finding the Fourth Proportional to 3,825.80, 5,740.44 and 2,268.88

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Solution

The fourth proportional to 3,825.80, 5,740.44 and 2,268.88 is: 3,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.80 : 5,740.44 = 2,268.88 : x
  2. Step 2: Convert to fraction form
    3,825.80/5,740.44 = 2,268.88/x
  3. Step 3: Cross multiply
    3,825.80x = 5,740.44 × 2,268.88
  4. Step 4: Simplify right side
    3,825.80x = 13,024,369.51
  5. Step 5: Solve for x
    x = 13,024,369.51/3,825.80
  6. Step 6: Final answer
    x = 3,404.35

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