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Finding the Fourth Proportional to 3,823.80, 5,735.05 and 1,049.83

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Solution

The fourth proportional to 3,823.80, 5,735.05 and 1,049.83 is: 1,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.80 : 5,735.05 = 1,049.83 : x
  2. Step 2: Convert to fraction form
    3,823.80/5,735.05 = 1,049.83/x
  3. Step 3: Cross multiply
    3,823.80x = 5,735.05 × 1,049.83
  4. Step 4: Simplify right side
    3,823.80x = 6,020,804.72
  5. Step 5: Solve for x
    x = 6,020,804.72/3,823.80
  6. Step 6: Final answer
    x = 1,574.56

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