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Finding the Fourth Proportional to 3,802.82, 5,704.18 and 1,205.76

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Solution

The fourth proportional to 3,802.82, 5,704.18 and 1,205.76 is: 1,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.82 : 5,704.18 = 1,205.76 : x
  2. Step 2: Convert to fraction form
    3,802.82/5,704.18 = 1,205.76/x
  3. Step 3: Cross multiply
    3,802.82x = 5,704.18 × 1,205.76
  4. Step 4: Simplify right side
    3,802.82x = 6,877,872.08
  5. Step 5: Solve for x
    x = 6,877,872.08/3,802.82
  6. Step 6: Final answer
    x = 1,808.62

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