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Finding the Fourth Proportional to 5,872.38, 8,103.74 and 3,219.78

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Solution

The fourth proportional to 5,872.38, 8,103.74 and 3,219.78 is: 4,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.38 : 8,103.74 = 3,219.78 : x
  2. Step 2: Convert to fraction form
    5,872.38/8,103.74 = 3,219.78/x
  3. Step 3: Cross multiply
    5,872.38x = 8,103.74 × 3,219.78
  4. Step 4: Simplify right side
    5,872.38x = 26,092,259.98
  5. Step 5: Solve for x
    x = 26,092,259.98/5,872.38
  6. Step 6: Final answer
    x = 4,443.22

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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.