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Finding the Fourth Proportional to 4,174.38, 6,231.11 and 3,869.82

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Solution

The fourth proportional to 4,174.38, 6,231.11 and 3,869.82 is: 5,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.38 : 6,231.11 = 3,869.82 : x
  2. Step 2: Convert to fraction form
    4,174.38/6,231.11 = 3,869.82/x
  3. Step 3: Cross multiply
    4,174.38x = 6,231.11 × 3,869.82
  4. Step 4: Simplify right side
    4,174.38x = 24,113,254.75
  5. Step 5: Solve for x
    x = 24,113,254.75/4,174.38
  6. Step 6: Final answer
    x = 5,776.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.