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Finding the Fourth Proportional to 4,197.69, 6,299.69 and 3,385.71

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Solution

The fourth proportional to 4,197.69, 6,299.69 and 3,385.71 is: 5,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.69 : 6,299.69 = 3,385.71 : x
  2. Step 2: Convert to fraction form
    4,197.69/6,299.69 = 3,385.71/x
  3. Step 3: Cross multiply
    4,197.69x = 6,299.69 × 3,385.71
  4. Step 4: Simplify right side
    4,197.69x = 21,328,906.50
  5. Step 5: Solve for x
    x = 21,328,906.50/4,197.69
  6. Step 6: Final answer
    x = 5,081.11

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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.