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Finding the Fourth Proportional to 4,662.88, 6,434.64 and 2,566.96

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Solution

The fourth proportional to 4,662.88, 6,434.64 and 2,566.96 is: 3,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.88 : 6,434.64 = 2,566.96 : x
  2. Step 2: Convert to fraction form
    4,662.88/6,434.64 = 2,566.96/x
  3. Step 3: Cross multiply
    4,662.88x = 6,434.64 × 2,566.96
  4. Step 4: Simplify right side
    4,662.88x = 16,517,463.49
  5. Step 5: Solve for x
    x = 16,517,463.49/4,662.88
  6. Step 6: Final answer
    x = 3,542.33

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