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Finding the Fourth Proportional to 3,819.51, 5,730.11 and 1,222.44

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Solution

The fourth proportional to 3,819.51, 5,730.11 and 1,222.44 is: 1,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.51 : 5,730.11 = 1,222.44 : x
  2. Step 2: Convert to fraction form
    3,819.51/5,730.11 = 1,222.44/x
  3. Step 3: Cross multiply
    3,819.51x = 5,730.11 × 1,222.44
  4. Step 4: Simplify right side
    3,819.51x = 7,004,709.56
  5. Step 5: Solve for x
    x = 7,004,709.56/3,819.51
  6. Step 6: Final answer
    x = 1,833.93

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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.