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Finding the Fourth Proportional to 3,584.64, 5,376.96 and 2,351.76

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Solution

The fourth proportional to 3,584.64, 5,376.96 and 2,351.76 is: 3,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.64 : 5,376.96 = 2,351.76 : x
  2. Step 2: Convert to fraction form
    3,584.64/5,376.96 = 2,351.76/x
  3. Step 3: Cross multiply
    3,584.64x = 5,376.96 × 2,351.76
  4. Step 4: Simplify right side
    3,584.64x = 12,645,319.45
  5. Step 5: Solve for x
    x = 12,645,319.45/3,584.64
  6. Step 6: Final answer
    x = 3,527.64

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