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Finding the Fourth Proportional to 5,650.74, 8,469 and 4,007.70

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Solution

The fourth proportional to 5,650.74, 8,469 and 4,007.70 is: 6,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.74 : 8,469 = 4,007.70 : x
  2. Step 2: Convert to fraction form
    5,650.74/8,469 = 4,007.70/x
  3. Step 3: Cross multiply
    5,650.74x = 8,469 × 4,007.70
  4. Step 4: Simplify right side
    5,650.74x = 33,941,211.30
  5. Step 5: Solve for x
    x = 33,941,211.30/5,650.74
  6. Step 6: Final answer
    x = 6,006.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.