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Finding the Fourth Proportional to 3,819.29, 5,728.83 and 1,222.19

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Solution

The fourth proportional to 3,819.29, 5,728.83 and 1,222.19 is: 1,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.29 : 5,728.83 = 1,222.19 : x
  2. Step 2: Convert to fraction form
    3,819.29/5,728.83 = 1,222.19/x
  3. Step 3: Cross multiply
    3,819.29x = 5,728.83 × 1,222.19
  4. Step 4: Simplify right side
    3,819.29x = 7,001,718.74
  5. Step 5: Solve for x
    x = 7,001,718.74/3,819.29
  6. Step 6: Final answer
    x = 1,833.25

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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.