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Finding the Fourth Proportional to 5,949.72, 8,211.74 and 3,433.44

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Solution

The fourth proportional to 5,949.72, 8,211.74 and 3,433.44 is: 4,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.72 : 8,211.74 = 3,433.44 : x
  2. Step 2: Convert to fraction form
    5,949.72/8,211.74 = 3,433.44/x
  3. Step 3: Cross multiply
    5,949.72x = 8,211.74 × 3,433.44
  4. Step 4: Simplify right side
    5,949.72x = 28,194,516.59
  5. Step 5: Solve for x
    x = 28,194,516.59/5,949.72
  6. Step 6: Final answer
    x = 4,738.80

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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.