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Finding the Fourth Proportional to 2,552.72, 3,824.21 and 1,729.58

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Solution

The fourth proportional to 2,552.72, 3,824.21 and 1,729.58 is: 2,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.72 : 3,824.21 = 1,729.58 : x
  2. Step 2: Convert to fraction form
    2,552.72/3,824.21 = 1,729.58/x
  3. Step 3: Cross multiply
    2,552.72x = 3,824.21 × 1,729.58
  4. Step 4: Simplify right side
    2,552.72x = 6,614,277.13
  5. Step 5: Solve for x
    x = 6,614,277.13/2,552.72
  6. Step 6: Final answer
    x = 2,591.07

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