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Finding the Fourth Proportional to 3,825.96, 5,734.08 and 2,095.80

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Solution

The fourth proportional to 3,825.96, 5,734.08 and 2,095.80 is: 3,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.96 : 5,734.08 = 2,095.80 : x
  2. Step 2: Convert to fraction form
    3,825.96/5,734.08 = 2,095.80/x
  3. Step 3: Cross multiply
    3,825.96x = 5,734.08 × 2,095.80
  4. Step 4: Simplify right side
    3,825.96x = 12,017,484.86
  5. Step 5: Solve for x
    x = 12,017,484.86/3,825.96
  6. Step 6: Final answer
    x = 3,141.04

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