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Finding the Fourth Proportional to 3,876.15, 5,814.17 and 954.48

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Solution

The fourth proportional to 3,876.15, 5,814.17 and 954.48 is: 1,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.15 : 5,814.17 = 954.48 : x
  2. Step 2: Convert to fraction form
    3,876.15/5,814.17 = 954.48/x
  3. Step 3: Cross multiply
    3,876.15x = 5,814.17 × 954.48
  4. Step 4: Simplify right side
    3,876.15x = 5,549,508.98
  5. Step 5: Solve for x
    x = 5,549,508.98/3,876.15
  6. Step 6: Final answer
    x = 1,431.71

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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.