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Finding the Fourth Proportional to 3,996.29, 5,997.47 and 3,218.16

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Solution

The fourth proportional to 3,996.29, 5,997.47 and 3,218.16 is: 4,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.29 : 5,997.47 = 3,218.16 : x
  2. Step 2: Convert to fraction form
    3,996.29/5,997.47 = 3,218.16/x
  3. Step 3: Cross multiply
    3,996.29x = 5,997.47 × 3,218.16
  4. Step 4: Simplify right side
    3,996.29x = 19,300,782.90
  5. Step 5: Solve for x
    x = 19,300,782.90/3,996.29
  6. Step 6: Final answer
    x = 4,829.68

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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.