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Finding the Fourth Proportional to 3,946.26, 5,921.82 and 1,606.44

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Solution

The fourth proportional to 3,946.26, 5,921.82 and 1,606.44 is: 2,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.26 : 5,921.82 = 1,606.44 : x
  2. Step 2: Convert to fraction form
    3,946.26/5,921.82 = 1,606.44/x
  3. Step 3: Cross multiply
    3,946.26x = 5,921.82 × 1,606.44
  4. Step 4: Simplify right side
    3,946.26x = 9,513,048.52
  5. Step 5: Solve for x
    x = 9,513,048.52/3,946.26
  6. Step 6: Final answer
    x = 2,410.65

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