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Finding the Fourth Proportional to 3,770.20, 5,649.34 and 3,063.96

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Solution

The fourth proportional to 3,770.20, 5,649.34 and 3,063.96 is: 4,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.20 : 5,649.34 = 3,063.96 : x
  2. Step 2: Convert to fraction form
    3,770.20/5,649.34 = 3,063.96/x
  3. Step 3: Cross multiply
    3,770.20x = 5,649.34 × 3,063.96
  4. Step 4: Simplify right side
    3,770.20x = 17,309,351.79
  5. Step 5: Solve for x
    x = 17,309,351.79/3,770.20
  6. Step 6: Final answer
    x = 4,591.10

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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.