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Finding the Fourth Proportional to 3,823.73, 5,736 and 1,358.78

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Solution

The fourth proportional to 3,823.73, 5,736 and 1,358.78 is: 2,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.73 : 5,736 = 1,358.78 : x
  2. Step 2: Convert to fraction form
    3,823.73/5,736 = 1,358.78/x
  3. Step 3: Cross multiply
    3,823.73x = 5,736 × 1,358.78
  4. Step 4: Simplify right side
    3,823.73x = 7,793,962.08
  5. Step 5: Solve for x
    x = 7,793,962.08/3,823.73
  6. Step 6: Final answer
    x = 2,038.31

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