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Finding the Fourth Proportional to 3,993.78, 5,993.34 and 1,396.72

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Solution

The fourth proportional to 3,993.78, 5,993.34 and 1,396.72 is: 2,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.78 : 5,993.34 = 1,396.72 : x
  2. Step 2: Convert to fraction form
    3,993.78/5,993.34 = 1,396.72/x
  3. Step 3: Cross multiply
    3,993.78x = 5,993.34 × 1,396.72
  4. Step 4: Simplify right side
    3,993.78x = 8,371,027.96
  5. Step 5: Solve for x
    x = 8,371,027.96/3,993.78
  6. Step 6: Final answer
    x = 2,096.01

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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.