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Finding the Fourth Proportional to 5,827.38, 8,039.22 and 3,938.27

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Solution

The fourth proportional to 5,827.38, 8,039.22 and 3,938.27 is: 5,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.38 : 8,039.22 = 3,938.27 : x
  2. Step 2: Convert to fraction form
    5,827.38/8,039.22 = 3,938.27/x
  3. Step 3: Cross multiply
    5,827.38x = 8,039.22 × 3,938.27
  4. Step 4: Simplify right side
    5,827.38x = 31,660,639.05
  5. Step 5: Solve for x
    x = 31,660,639.05/5,827.38
  6. Step 6: Final answer
    x = 5,433.09

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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.