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Finding the Fourth Proportional to 3,914.80, 5,397.76 and 3,166.40

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Solution

The fourth proportional to 3,914.80, 5,397.76 and 3,166.40 is: 4,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.80 : 5,397.76 = 3,166.40 : x
  2. Step 2: Convert to fraction form
    3,914.80/5,397.76 = 3,166.40/x
  3. Step 3: Cross multiply
    3,914.80x = 5,397.76 × 3,166.40
  4. Step 4: Simplify right side
    3,914.80x = 17,091,467.26
  5. Step 5: Solve for x
    x = 17,091,467.26/3,914.80
  6. Step 6: Final answer
    x = 4,365.86

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