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Finding the Fourth Proportional to 3,978.04, 5,969.46 and 3,159.16

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Solution

The fourth proportional to 3,978.04, 5,969.46 and 3,159.16 is: 4,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.04 : 5,969.46 = 3,159.16 : x
  2. Step 2: Convert to fraction form
    3,978.04/5,969.46 = 3,159.16/x
  3. Step 3: Cross multiply
    3,978.04x = 5,969.46 × 3,159.16
  4. Step 4: Simplify right side
    3,978.04x = 18,858,479.25
  5. Step 5: Solve for x
    x = 18,858,479.25/3,978.04
  6. Step 6: Final answer
    x = 4,740.65

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