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Finding the Fourth Proportional to 5,201.14, 7,794.96 and 3,964

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Solution

The fourth proportional to 5,201.14, 7,794.96 and 3,964 is: 5,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.14 : 7,794.96 = 3,964 : x
  2. Step 2: Convert to fraction form
    5,201.14/7,794.96 = 3,964/x
  3. Step 3: Cross multiply
    5,201.14x = 7,794.96 × 3,964
  4. Step 4: Simplify right side
    5,201.14x = 30,899,221.44
  5. Step 5: Solve for x
    x = 30,899,221.44/5,201.14
  6. Step 6: Final answer
    x = 5,940.86

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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.