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Finding the Fourth Proportional to 5,217.66, 7,819.20 and 3,836.61

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Solution

The fourth proportional to 5,217.66, 7,819.20 and 3,836.61 is: 5,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.66 : 7,819.20 = 3,836.61 : x
  2. Step 2: Convert to fraction form
    5,217.66/7,819.20 = 3,836.61/x
  3. Step 3: Cross multiply
    5,217.66x = 7,819.20 × 3,836.61
  4. Step 4: Simplify right side
    5,217.66x = 29,999,220.91
  5. Step 5: Solve for x
    x = 29,999,220.91/5,217.66
  6. Step 6: Final answer
    x = 5,749.55

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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.