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Finding the Fourth Proportional to 3,923.67, 5,423.27 and 3,447.99

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Solution

The fourth proportional to 3,923.67, 5,423.27 and 3,447.99 is: 4,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.67 : 5,423.27 = 3,447.99 : x
  2. Step 2: Convert to fraction form
    3,923.67/5,423.27 = 3,447.99/x
  3. Step 3: Cross multiply
    3,923.67x = 5,423.27 × 3,447.99
  4. Step 4: Simplify right side
    3,923.67x = 18,699,336.37
  5. Step 5: Solve for x
    x = 18,699,336.37/3,923.67
  6. Step 6: Final answer
    x = 4,765.78

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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.