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Finding the Fourth Proportional to 3,944.49, 5,909.77 and 3,515.46

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Solution

The fourth proportional to 3,944.49, 5,909.77 and 3,515.46 is: 5,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.49 : 5,909.77 = 3,515.46 : x
  2. Step 2: Convert to fraction form
    3,944.49/5,909.77 = 3,515.46/x
  3. Step 3: Cross multiply
    3,944.49x = 5,909.77 × 3,515.46
  4. Step 4: Simplify right side
    3,944.49x = 20,775,560.04
  5. Step 5: Solve for x
    x = 20,775,560.04/3,944.49
  6. Step 6: Final answer
    x = 5,266.98

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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.