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Finding the Fourth Proportional to 4,173.68, 5,755.20 and 3,517.76

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Solution

The fourth proportional to 4,173.68, 5,755.20 and 3,517.76 is: 4,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.68 : 5,755.20 = 3,517.76 : x
  2. Step 2: Convert to fraction form
    4,173.68/5,755.20 = 3,517.76/x
  3. Step 3: Cross multiply
    4,173.68x = 5,755.20 × 3,517.76
  4. Step 4: Simplify right side
    4,173.68x = 20,245,412.35
  5. Step 5: Solve for x
    x = 20,245,412.35/4,173.68
  6. Step 6: Final answer
    x = 4,850.73

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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.