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Finding the Fourth Proportional to 5,212.38, 7,819.01 and 1,514.61

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Solution

The fourth proportional to 5,212.38, 7,819.01 and 1,514.61 is: 2,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.38 : 7,819.01 = 1,514.61 : x
  2. Step 2: Convert to fraction form
    5,212.38/7,819.01 = 1,514.61/x
  3. Step 3: Cross multiply
    5,212.38x = 7,819.01 × 1,514.61
  4. Step 4: Simplify right side
    5,212.38x = 11,842,743.16
  5. Step 5: Solve for x
    x = 11,842,743.16/5,212.38
  6. Step 6: Final answer
    x = 2,272.04

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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.