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Finding the Fourth Proportional to 3,443.94, 5,166.78 and 978.78

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Solution

The fourth proportional to 3,443.94, 5,166.78 and 978.78 is: 1,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.94 : 5,166.78 = 978.78 : x
  2. Step 2: Convert to fraction form
    3,443.94/5,166.78 = 978.78/x
  3. Step 3: Cross multiply
    3,443.94x = 5,166.78 × 978.78
  4. Step 4: Simplify right side
    3,443.94x = 5,057,140.93
  5. Step 5: Solve for x
    x = 5,057,140.93/3,443.94
  6. Step 6: Final answer
    x = 1,468.42

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