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Finding the Fourth Proportional to 5,467.02, 8,194.05 and 4,819.02

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Solution

The fourth proportional to 5,467.02, 8,194.05 and 4,819.02 is: 7,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.02 : 8,194.05 = 4,819.02 : x
  2. Step 2: Convert to fraction form
    5,467.02/8,194.05 = 4,819.02/x
  3. Step 3: Cross multiply
    5,467.02x = 8,194.05 × 4,819.02
  4. Step 4: Simplify right side
    5,467.02x = 39,487,290.83
  5. Step 5: Solve for x
    x = 39,487,290.83/5,467.02
  6. Step 6: Final answer
    x = 7,222.82

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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.