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Finding the Fourth Proportional to 5,684.76, 8,528.19 and 2,564.88

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Solution

The fourth proportional to 5,684.76, 8,528.19 and 2,564.88 is: 3,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.76 : 8,528.19 = 2,564.88 : x
  2. Step 2: Convert to fraction form
    5,684.76/8,528.19 = 2,564.88/x
  3. Step 3: Cross multiply
    5,684.76x = 8,528.19 × 2,564.88
  4. Step 4: Simplify right side
    5,684.76x = 21,873,783.97
  5. Step 5: Solve for x
    x = 21,873,783.97/5,684.76
  6. Step 6: Final answer
    x = 3,847.79

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