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Finding the Fourth Proportional to 5,953.26, 8,217.39 and 3,469.74

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Solution

The fourth proportional to 5,953.26, 8,217.39 and 3,469.74 is: 4,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.26 : 8,217.39 = 3,469.74 : x
  2. Step 2: Convert to fraction form
    5,953.26/8,217.39 = 3,469.74/x
  3. Step 3: Cross multiply
    5,953.26x = 8,217.39 × 3,469.74
  4. Step 4: Simplify right side
    5,953.26x = 28,512,206.78
  5. Step 5: Solve for x
    x = 28,512,206.78/5,953.26
  6. Step 6: Final answer
    x = 4,789.34

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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.