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Finding the Fourth Proportional to 3,214.78, 4,808.97 and 2,566.78

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Solution

The fourth proportional to 3,214.78, 4,808.97 and 2,566.78 is: 3,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.78 : 4,808.97 = 2,566.78 : x
  2. Step 2: Convert to fraction form
    3,214.78/4,808.97 = 2,566.78/x
  3. Step 3: Cross multiply
    3,214.78x = 4,808.97 × 2,566.78
  4. Step 4: Simplify right side
    3,214.78x = 12,343,568.02
  5. Step 5: Solve for x
    x = 12,343,568.02/3,214.78
  6. Step 6: Final answer
    x = 3,839.63

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