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Finding the Fourth Proportional to 3,823.26, 5,734.92 and 1,049.88

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Solution

The fourth proportional to 3,823.26, 5,734.92 and 1,049.88 is: 1,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.26 : 5,734.92 = 1,049.88 : x
  2. Step 2: Convert to fraction form
    3,823.26/5,734.92 = 1,049.88/x
  3. Step 3: Cross multiply
    3,823.26x = 5,734.92 × 1,049.88
  4. Step 4: Simplify right side
    3,823.26x = 6,020,977.81
  5. Step 5: Solve for x
    x = 6,020,977.81/3,823.26
  6. Step 6: Final answer
    x = 1,574.83

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