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Finding the Fourth Proportional to 5,212.89, 7,819.12 and 1,515.05

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Solution

The fourth proportional to 5,212.89, 7,819.12 and 1,515.05 is: 2,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.89 : 7,819.12 = 1,515.05 : x
  2. Step 2: Convert to fraction form
    5,212.89/7,819.12 = 1,515.05/x
  3. Step 3: Cross multiply
    5,212.89x = 7,819.12 × 1,515.05
  4. Step 4: Simplify right side
    5,212.89x = 11,846,314.87
  5. Step 5: Solve for x
    x = 11,846,314.87/5,212.89
  6. Step 6: Final answer
    x = 2,272.50

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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.