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Finding the Fourth Proportional to 3,946.74, 5,922.75 and 1,638.24

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Solution

The fourth proportional to 3,946.74, 5,922.75 and 1,638.24 is: 2,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.74 : 5,922.75 = 1,638.24 : x
  2. Step 2: Convert to fraction form
    3,946.74/5,922.75 = 1,638.24/x
  3. Step 3: Cross multiply
    3,946.74x = 5,922.75 × 1,638.24
  4. Step 4: Simplify right side
    3,946.74x = 9,702,885.96
  5. Step 5: Solve for x
    x = 9,702,885.96/3,946.74
  6. Step 6: Final answer
    x = 2,458.46

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