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Finding the Fourth Proportional to 4,645.44, 6,968.97 and 2,564.55

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Solution

The fourth proportional to 4,645.44, 6,968.97 and 2,564.55 is: 3,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.44 : 6,968.97 = 2,564.55 : x
  2. Step 2: Convert to fraction form
    4,645.44/6,968.97 = 2,564.55/x
  3. Step 3: Cross multiply
    4,645.44x = 6,968.97 × 2,564.55
  4. Step 4: Simplify right side
    4,645.44x = 17,872,272.01
  5. Step 5: Solve for x
    x = 17,872,272.01/4,645.44
  6. Step 6: Final answer
    x = 3,847.27

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