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Finding the Fourth Proportional to 6,267.38, 8,649.33 and 3,472.82

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Solution

The fourth proportional to 6,267.38, 8,649.33 and 3,472.82 is: 4,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.38 : 8,649.33 = 3,472.82 : x
  2. Step 2: Convert to fraction form
    6,267.38/8,649.33 = 3,472.82/x
  3. Step 3: Cross multiply
    6,267.38x = 8,649.33 × 3,472.82
  4. Step 4: Simplify right side
    6,267.38x = 30,037,566.21
  5. Step 5: Solve for x
    x = 30,037,566.21/6,267.38
  6. Step 6: Final answer
    x = 4,792.68

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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.