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Finding the Fourth Proportional to 5,376, 8,063.82 and 2,213.34

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Solution

The fourth proportional to 5,376, 8,063.82 and 2,213.34 is: 3,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376 : 8,063.82 = 2,213.34 : x
  2. Step 2: Convert to fraction form
    5,376/8,063.82 = 2,213.34/x
  3. Step 3: Cross multiply
    5,376x = 8,063.82 × 2,213.34
  4. Step 4: Simplify right side
    5,376x = 17,847,975.36
  5. Step 5: Solve for x
    x = 17,847,975.36/5,376
  6. Step 6: Final answer
    x = 3,319.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.