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Finding the Fourth Proportional to 4,819.50, 7,226.01 and 3,879.90

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Solution

The fourth proportional to 4,819.50, 7,226.01 and 3,879.90 is: 5,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.50 : 7,226.01 = 3,879.90 : x
  2. Step 2: Convert to fraction form
    4,819.50/7,226.01 = 3,879.90/x
  3. Step 3: Cross multiply
    4,819.50x = 7,226.01 × 3,879.90
  4. Step 4: Simplify right side
    4,819.50x = 28,036,196.20
  5. Step 5: Solve for x
    x = 28,036,196.20/4,819.50
  6. Step 6: Final answer
    x = 5,817.24

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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.