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Finding the Fourth Proportional to 3,993.24, 5,503.50 and 3,249.66

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Solution

The fourth proportional to 3,993.24, 5,503.50 and 3,249.66 is: 4,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.24 : 5,503.50 = 3,249.66 : x
  2. Step 2: Convert to fraction form
    3,993.24/5,503.50 = 3,249.66/x
  3. Step 3: Cross multiply
    3,993.24x = 5,503.50 × 3,249.66
  4. Step 4: Simplify right side
    3,993.24x = 17,884,503.81
  5. Step 5: Solve for x
    x = 17,884,503.81/3,993.24
  6. Step 6: Final answer
    x = 4,478.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.