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Finding the Fourth Proportional to 4,098.38, 6,175.49 and 3,650.82

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Solution

The fourth proportional to 4,098.38, 6,175.49 and 3,650.82 is: 5,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.38 : 6,175.49 = 3,650.82 : x
  2. Step 2: Convert to fraction form
    4,098.38/6,175.49 = 3,650.82/x
  3. Step 3: Cross multiply
    4,098.38x = 6,175.49 × 3,650.82
  4. Step 4: Simplify right side
    4,098.38x = 22,545,584.15
  5. Step 5: Solve for x
    x = 22,545,584.15/4,098.38
  6. Step 6: Final answer
    x = 5,501.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.