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Finding the Fourth Proportional to 4,766.41, 7,148.47 and 1,646.53

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Solution

The fourth proportional to 4,766.41, 7,148.47 and 1,646.53 is: 2,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.41 : 7,148.47 = 1,646.53 : x
  2. Step 2: Convert to fraction form
    4,766.41/7,148.47 = 1,646.53/x
  3. Step 3: Cross multiply
    4,766.41x = 7,148.47 × 1,646.53
  4. Step 4: Simplify right side
    4,766.41x = 11,770,138.68
  5. Step 5: Solve for x
    x = 11,770,138.68/4,766.41
  6. Step 6: Final answer
    x = 2,469.39

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