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Finding the Fourth Proportional to 3,819.25, 5,728.88 and 1,222.39

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Solution

The fourth proportional to 3,819.25, 5,728.88 and 1,222.39 is: 1,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.25 : 5,728.88 = 1,222.39 : x
  2. Step 2: Convert to fraction form
    3,819.25/5,728.88 = 1,222.39/x
  3. Step 3: Cross multiply
    3,819.25x = 5,728.88 × 1,222.39
  4. Step 4: Simplify right side
    3,819.25x = 7,002,925.62
  5. Step 5: Solve for x
    x = 7,002,925.62/3,819.25
  6. Step 6: Final answer
    x = 1,833.59

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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.