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Finding the Fourth Proportional to 5,865.38, 8,094.14 and 3,212.78

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Solution

The fourth proportional to 5,865.38, 8,094.14 and 3,212.78 is: 4,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.38 : 8,094.14 = 3,212.78 : x
  2. Step 2: Convert to fraction form
    5,865.38/8,094.14 = 3,212.78/x
  3. Step 3: Cross multiply
    5,865.38x = 8,094.14 × 3,212.78
  4. Step 4: Simplify right side
    5,865.38x = 26,004,691.11
  5. Step 5: Solve for x
    x = 26,004,691.11/5,865.38
  6. Step 6: Final answer
    x = 4,433.59

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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.