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Finding the Fourth Proportional to 5,951.76, 8,212.50 and 3,433.97

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Solution

The fourth proportional to 5,951.76, 8,212.50 and 3,433.97 is: 4,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.76 : 8,212.50 = 3,433.97 : x
  2. Step 2: Convert to fraction form
    5,951.76/8,212.50 = 3,433.97/x
  3. Step 3: Cross multiply
    5,951.76x = 8,212.50 × 3,433.97
  4. Step 4: Simplify right side
    5,951.76x = 28,201,437.56
  5. Step 5: Solve for x
    x = 28,201,437.56/5,951.76
  6. Step 6: Final answer
    x = 4,738.34

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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.