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Finding the Fourth Proportional to 5,212.45, 7,819.08 and 1,514.73

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Solution

The fourth proportional to 5,212.45, 7,819.08 and 1,514.73 is: 2,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.45 : 7,819.08 = 1,514.73 : x
  2. Step 2: Convert to fraction form
    5,212.45/7,819.08 = 1,514.73/x
  3. Step 3: Cross multiply
    5,212.45x = 7,819.08 × 1,514.73
  4. Step 4: Simplify right side
    5,212.45x = 11,843,795.05
  5. Step 5: Solve for x
    x = 11,843,795.05/5,212.45
  6. Step 6: Final answer
    x = 2,272.21

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