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Finding the Fourth Proportional to 5,951.22, 8,213.82 and 3,434.96

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Solution

The fourth proportional to 5,951.22, 8,213.82 and 3,434.96 is: 4,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.22 : 8,213.82 = 3,434.96 : x
  2. Step 2: Convert to fraction form
    5,951.22/8,213.82 = 3,434.96/x
  3. Step 3: Cross multiply
    5,951.22x = 8,213.82 × 3,434.96
  4. Step 4: Simplify right side
    5,951.22x = 28,214,143.15
  5. Step 5: Solve for x
    x = 28,214,143.15/5,951.22
  6. Step 6: Final answer
    x = 4,740.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.