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Finding the Fourth Proportional to 3,214.56, 4,813.68 and 2,566.56

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Solution

The fourth proportional to 3,214.56, 4,813.68 and 2,566.56 is: 3,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.56 : 4,813.68 = 2,566.56 : x
  2. Step 2: Convert to fraction form
    3,214.56/4,813.68 = 2,566.56/x
  3. Step 3: Cross multiply
    3,214.56x = 4,813.68 × 2,566.56
  4. Step 4: Simplify right side
    3,214.56x = 12,354,598.54
  5. Step 5: Solve for x
    x = 12,354,598.54/3,214.56
  6. Step 6: Final answer
    x = 3,843.32

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