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Finding the Fourth Proportional to 3,185.74, 4,778.56 and 1,542.43

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Solution

The fourth proportional to 3,185.74, 4,778.56 and 1,542.43 is: 2,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.74 : 4,778.56 = 1,542.43 : x
  2. Step 2: Convert to fraction form
    3,185.74/4,778.56 = 1,542.43/x
  3. Step 3: Cross multiply
    3,185.74x = 4,778.56 × 1,542.43
  4. Step 4: Simplify right side
    3,185.74x = 7,370,594.30
  5. Step 5: Solve for x
    x = 7,370,594.30/3,185.74
  6. Step 6: Final answer
    x = 2,313.62

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