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Finding the Fourth Proportional to 3,815.53, 5,723.92 and 1,182.42

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Solution

The fourth proportional to 3,815.53, 5,723.92 and 1,182.42 is: 1,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.53 : 5,723.92 = 1,182.42 : x
  2. Step 2: Convert to fraction form
    3,815.53/5,723.92 = 1,182.42/x
  3. Step 3: Cross multiply
    3,815.53x = 5,723.92 × 1,182.42
  4. Step 4: Simplify right side
    3,815.53x = 6,768,071.57
  5. Step 5: Solve for x
    x = 6,768,071.57/3,815.53
  6. Step 6: Final answer
    x = 1,773.82

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