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Finding the Fourth Proportional to 3,996.96, 5,996.24 and 1,401.72

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Solution

The fourth proportional to 3,996.96, 5,996.24 and 1,401.72 is: 2,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.96 : 5,996.24 = 1,401.72 : x
  2. Step 2: Convert to fraction form
    3,996.96/5,996.24 = 1,401.72/x
  3. Step 3: Cross multiply
    3,996.96x = 5,996.24 × 1,401.72
  4. Step 4: Simplify right side
    3,996.96x = 8,405,049.53
  5. Step 5: Solve for x
    x = 8,405,049.53/3,996.96
  6. Step 6: Final answer
    x = 2,102.86

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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.