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Finding the Fourth Proportional to 3,209.87, 4,429.83 and 1,793.57

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Solution

The fourth proportional to 3,209.87, 4,429.83 and 1,793.57 is: 2,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.87 : 4,429.83 = 1,793.57 : x
  2. Step 2: Convert to fraction form
    3,209.87/4,429.83 = 1,793.57/x
  3. Step 3: Cross multiply
    3,209.87x = 4,429.83 × 1,793.57
  4. Step 4: Simplify right side
    3,209.87x = 7,945,211.38
  5. Step 5: Solve for x
    x = 7,945,211.38/3,209.87
  6. Step 6: Final answer
    x = 2,475.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.