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Finding the Fourth Proportional to 3,209.56, 4,809.28 and 2,428.72

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Solution

The fourth proportional to 3,209.56, 4,809.28 and 2,428.72 is: 3,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.56 : 4,809.28 = 2,428.72 : x
  2. Step 2: Convert to fraction form
    3,209.56/4,809.28 = 2,428.72/x
  3. Step 3: Cross multiply
    3,209.56x = 4,809.28 × 2,428.72
  4. Step 4: Simplify right side
    3,209.56x = 11,680,394.52
  5. Step 5: Solve for x
    x = 11,680,394.52/3,209.56
  6. Step 6: Final answer
    x = 3,639.25

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