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Finding the Fourth Proportional to 3,982.05, 5,493.69 and 2,565.62

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Solution

The fourth proportional to 3,982.05, 5,493.69 and 2,565.62 is: 3,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.05 : 5,493.69 = 2,565.62 : x
  2. Step 2: Convert to fraction form
    3,982.05/5,493.69 = 2,565.62/x
  3. Step 3: Cross multiply
    3,982.05x = 5,493.69 × 2,565.62
  4. Step 4: Simplify right side
    3,982.05x = 14,094,744.29
  5. Step 5: Solve for x
    x = 14,094,744.29/3,982.05
  6. Step 6: Final answer
    x = 3,539.57

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