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Finding the Fourth Proportional to 3,876, 5,814.24 and 1,410.96

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Solution

The fourth proportional to 3,876, 5,814.24 and 1,410.96 is: 2,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876 : 5,814.24 = 1,410.96 : x
  2. Step 2: Convert to fraction form
    3,876/5,814.24 = 1,410.96/x
  3. Step 3: Cross multiply
    3,876x = 5,814.24 × 1,410.96
  4. Step 4: Simplify right side
    3,876x = 8,203,660.07
  5. Step 5: Solve for x
    x = 8,203,660.07/3,876
  6. Step 6: Final answer
    x = 2,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.