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Finding the Fourth Proportional to 5,865.24, 8,093.61 and 3,212.46

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Solution

The fourth proportional to 5,865.24, 8,093.61 and 3,212.46 is: 4,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.24 : 8,093.61 = 3,212.46 : x
  2. Step 2: Convert to fraction form
    5,865.24/8,093.61 = 3,212.46/x
  3. Step 3: Cross multiply
    5,865.24x = 8,093.61 × 3,212.46
  4. Step 4: Simplify right side
    5,865.24x = 26,000,398.38
  5. Step 5: Solve for x
    x = 26,000,398.38/5,865.24
  6. Step 6: Final answer
    x = 4,432.96

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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.