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Finding the Fourth Proportional to 3,876.10, 5,814.09 and 954.41

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Solution

The fourth proportional to 3,876.10, 5,814.09 and 954.41 is: 1,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.10 : 5,814.09 = 954.41 : x
  2. Step 2: Convert to fraction form
    3,876.10/5,814.09 = 954.41/x
  3. Step 3: Cross multiply
    3,876.10x = 5,814.09 × 954.41
  4. Step 4: Simplify right side
    3,876.10x = 5,548,996.57
  5. Step 5: Solve for x
    x = 5,548,996.57/3,876.10
  6. Step 6: Final answer
    x = 1,431.59

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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.