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Finding the Fourth Proportional to 3,446.63, 5,165.84 and 1,982.75

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Solution

The fourth proportional to 3,446.63, 5,165.84 and 1,982.75 is: 2,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.63 : 5,165.84 = 1,982.75 : x
  2. Step 2: Convert to fraction form
    3,446.63/5,165.84 = 1,982.75/x
  3. Step 3: Cross multiply
    3,446.63x = 5,165.84 × 1,982.75
  4. Step 4: Simplify right side
    3,446.63x = 10,242,569.26
  5. Step 5: Solve for x
    x = 10,242,569.26/3,446.63
  6. Step 6: Final answer
    x = 2,971.76

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