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Finding the Fourth Proportional to 3,835.64, 5,753.78 and 1,643.84

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Solution

The fourth proportional to 3,835.64, 5,753.78 and 1,643.84 is: 2,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.64 : 5,753.78 = 1,643.84 : x
  2. Step 2: Convert to fraction form
    3,835.64/5,753.78 = 1,643.84/x
  3. Step 3: Cross multiply
    3,835.64x = 5,753.78 × 1,643.84
  4. Step 4: Simplify right side
    3,835.64x = 9,458,326.08
  5. Step 5: Solve for x
    x = 9,458,326.08/3,835.64
  6. Step 6: Final answer
    x = 2,465.91

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