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Finding the Fourth Proportional to 3,475.29, 4,793.44 and 2,149.63

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Solution

The fourth proportional to 3,475.29, 4,793.44 and 2,149.63 is: 2,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.29 : 4,793.44 = 2,149.63 : x
  2. Step 2: Convert to fraction form
    3,475.29/4,793.44 = 2,149.63/x
  3. Step 3: Cross multiply
    3,475.29x = 4,793.44 × 2,149.63
  4. Step 4: Simplify right side
    3,475.29x = 10,304,122.43
  5. Step 5: Solve for x
    x = 10,304,122.43/3,475.29
  6. Step 6: Final answer
    x = 2,964.97

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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.