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Finding the Fourth Proportional to 3,282.16, 4,922.88 and 1,638.40

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Solution

The fourth proportional to 3,282.16, 4,922.88 and 1,638.40 is: 2,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.16 : 4,922.88 = 1,638.40 : x
  2. Step 2: Convert to fraction form
    3,282.16/4,922.88 = 1,638.40/x
  3. Step 3: Cross multiply
    3,282.16x = 4,922.88 × 1,638.40
  4. Step 4: Simplify right side
    3,282.16x = 8,065,646.59
  5. Step 5: Solve for x
    x = 8,065,646.59/3,282.16
  6. Step 6: Final answer
    x = 2,457.42

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