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Finding the Fourth Proportional to 3,863.23, 5,329.82 and 2,446.38

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Solution

The fourth proportional to 3,863.23, 5,329.82 and 2,446.38 is: 3,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.23 : 5,329.82 = 2,446.38 : x
  2. Step 2: Convert to fraction form
    3,863.23/5,329.82 = 2,446.38/x
  3. Step 3: Cross multiply
    3,863.23x = 5,329.82 × 2,446.38
  4. Step 4: Simplify right side
    3,863.23x = 13,038,771.17
  5. Step 5: Solve for x
    x = 13,038,771.17/3,863.23
  6. Step 6: Final answer
    x = 3,375.10

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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.