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Finding the Fourth Proportional to 3,481.80, 4,770.45 and 3,433.20

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Solution

The fourth proportional to 3,481.80, 4,770.45 and 3,433.20 is: 4,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.80 : 4,770.45 = 3,433.20 : x
  2. Step 2: Convert to fraction form
    3,481.80/4,770.45 = 3,433.20/x
  3. Step 3: Cross multiply
    3,481.80x = 4,770.45 × 3,433.20
  4. Step 4: Simplify right side
    3,481.80x = 16,377,908.94
  5. Step 5: Solve for x
    x = 16,377,908.94/3,481.80
  6. Step 6: Final answer
    x = 4,703.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.