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Finding the Fourth Proportional to 4,654.98, 6,976.80 and 2,462.31

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Solution

The fourth proportional to 4,654.98, 6,976.80 and 2,462.31 is: 3,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.98 : 6,976.80 = 2,462.31 : x
  2. Step 2: Convert to fraction form
    4,654.98/6,976.80 = 2,462.31/x
  3. Step 3: Cross multiply
    4,654.98x = 6,976.80 × 2,462.31
  4. Step 4: Simplify right side
    4,654.98x = 17,179,044.41
  5. Step 5: Solve for x
    x = 17,179,044.41/4,654.98
  6. Step 6: Final answer
    x = 3,690.47

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