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Finding the Fourth Proportional to 3,844.75, 5,767.53 and 1,764.40

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Solution

The fourth proportional to 3,844.75, 5,767.53 and 1,764.40 is: 2,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.75 : 5,767.53 = 1,764.40 : x
  2. Step 2: Convert to fraction form
    3,844.75/5,767.53 = 1,764.40/x
  3. Step 3: Cross multiply
    3,844.75x = 5,767.53 × 1,764.40
  4. Step 4: Simplify right side
    3,844.75x = 10,176,229.93
  5. Step 5: Solve for x
    x = 10,176,229.93/3,844.75
  6. Step 6: Final answer
    x = 2,646.79

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