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Finding the Fourth Proportional to 5,951.32, 8,213.20 and 3,433.89

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Solution

The fourth proportional to 5,951.32, 8,213.20 and 3,433.89 is: 4,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.32 : 8,213.20 = 3,433.89 : x
  2. Step 2: Convert to fraction form
    5,951.32/8,213.20 = 3,433.89/x
  3. Step 3: Cross multiply
    5,951.32x = 8,213.20 × 3,433.89
  4. Step 4: Simplify right side
    5,951.32x = 28,203,225.35
  5. Step 5: Solve for x
    x = 28,203,225.35/5,951.32
  6. Step 6: Final answer
    x = 4,738.99

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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.