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Finding the Fourth Proportional to 2,638.39, 3,956.10 and 1,584.52

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Solution

The fourth proportional to 2,638.39, 3,956.10 and 1,584.52 is: 2,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.39 : 3,956.10 = 1,584.52 : x
  2. Step 2: Convert to fraction form
    2,638.39/3,956.10 = 1,584.52/x
  3. Step 3: Cross multiply
    2,638.39x = 3,956.10 × 1,584.52
  4. Step 4: Simplify right side
    2,638.39x = 6,268,519.57
  5. Step 5: Solve for x
    x = 6,268,519.57/2,638.39
  6. Step 6: Final answer
    x = 2,375.89

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