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Finding the Fourth Proportional to 6,382.22, 8,805.42 and 3,863.52

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Solution

The fourth proportional to 6,382.22, 8,805.42 and 3,863.52 is: 5,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.22 : 8,805.42 = 3,863.52 : x
  2. Step 2: Convert to fraction form
    6,382.22/8,805.42 = 3,863.52/x
  3. Step 3: Cross multiply
    6,382.22x = 8,805.42 × 3,863.52
  4. Step 4: Simplify right side
    6,382.22x = 34,019,916.28
  5. Step 5: Solve for x
    x = 34,019,916.28/6,382.22
  6. Step 6: Final answer
    x = 5,330.42

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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.