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Finding the Fourth Proportional to 3,504.64, 5,255.68 and 1,966.08

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Solution

The fourth proportional to 3,504.64, 5,255.68 and 1,966.08 is: 2,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.64 : 5,255.68 = 1,966.08 : x
  2. Step 2: Convert to fraction form
    3,504.64/5,255.68 = 1,966.08/x
  3. Step 3: Cross multiply
    3,504.64x = 5,255.68 × 1,966.08
  4. Step 4: Simplify right side
    3,504.64x = 10,333,087.33
  5. Step 5: Solve for x
    x = 10,333,087.33/3,504.64
  6. Step 6: Final answer
    x = 2,948.40

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