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Finding the Fourth Proportional to 3,874.60, 5,815.32 and 2,554.64

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Solution

The fourth proportional to 3,874.60, 5,815.32 and 2,554.64 is: 3,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.60 : 5,815.32 = 2,554.64 : x
  2. Step 2: Convert to fraction form
    3,874.60/5,815.32 = 2,554.64/x
  3. Step 3: Cross multiply
    3,874.60x = 5,815.32 × 2,554.64
  4. Step 4: Simplify right side
    3,874.60x = 14,856,049.08
  5. Step 5: Solve for x
    x = 14,856,049.08/3,874.60
  6. Step 6: Final answer
    x = 3,834.21

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