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Finding the Fourth Proportional to 3,827.35, 5,747.10 and 2,600.20

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Solution

The fourth proportional to 3,827.35, 5,747.10 and 2,600.20 is: 3,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.35 : 5,747.10 = 2,600.20 : x
  2. Step 2: Convert to fraction form
    3,827.35/5,747.10 = 2,600.20/x
  3. Step 3: Cross multiply
    3,827.35x = 5,747.10 × 2,600.20
  4. Step 4: Simplify right side
    3,827.35x = 14,943,609.42
  5. Step 5: Solve for x
    x = 14,943,609.42/3,827.35
  6. Step 6: Final answer
    x = 3,904.43

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