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Finding the Fourth Proportional to 4,546.59, 6,823.92 and 2,356.80

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Solution

The fourth proportional to 4,546.59, 6,823.92 and 2,356.80 is: 3,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.59 : 6,823.92 = 2,356.80 : x
  2. Step 2: Convert to fraction form
    4,546.59/6,823.92 = 2,356.80/x
  3. Step 3: Cross multiply
    4,546.59x = 6,823.92 × 2,356.80
  4. Step 4: Simplify right side
    4,546.59x = 16,082,614.66
  5. Step 5: Solve for x
    x = 16,082,614.66/4,546.59
  6. Step 6: Final answer
    x = 3,537.29

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