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Finding the Fourth Proportional to 3,993.40, 5,997.12 and 3,454.48

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Solution

The fourth proportional to 3,993.40, 5,997.12 and 3,454.48 is: 5,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.40 : 5,997.12 = 3,454.48 : x
  2. Step 2: Convert to fraction form
    3,993.40/5,997.12 = 3,454.48/x
  3. Step 3: Cross multiply
    3,993.40x = 5,997.12 × 3,454.48
  4. Step 4: Simplify right side
    3,993.40x = 20,716,931.10
  5. Step 5: Solve for x
    x = 20,716,931.10/3,993.40
  6. Step 6: Final answer
    x = 5,187.79

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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.