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Finding the Fourth Proportional to 3,893.25, 5,372.69 and 2,496

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Solution

The fourth proportional to 3,893.25, 5,372.69 and 2,496 is: 3,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.25 : 5,372.69 = 2,496 : x
  2. Step 2: Convert to fraction form
    3,893.25/5,372.69 = 2,496/x
  3. Step 3: Cross multiply
    3,893.25x = 5,372.69 × 2,496
  4. Step 4: Simplify right side
    3,893.25x = 13,410,234.24
  5. Step 5: Solve for x
    x = 13,410,234.24/3,893.25
  6. Step 6: Final answer
    x = 3,444.48

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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.