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Finding the Fourth Proportional to 3,982.22, 5,972.66 and 1,208.22

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Solution

The fourth proportional to 3,982.22, 5,972.66 and 1,208.22 is: 1,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.22 : 5,972.66 = 1,208.22 : x
  2. Step 2: Convert to fraction form
    3,982.22/5,972.66 = 1,208.22/x
  3. Step 3: Cross multiply
    3,982.22x = 5,972.66 × 1,208.22
  4. Step 4: Simplify right side
    3,982.22x = 7,216,296.91
  5. Step 5: Solve for x
    x = 7,216,296.91/3,982.22
  6. Step 6: Final answer
    x = 1,812.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.