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Finding the Fourth Proportional to 3,819.32, 5,729.52 and 1,222.28

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Solution

The fourth proportional to 3,819.32, 5,729.52 and 1,222.28 is: 1,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.32 : 5,729.52 = 1,222.28 : x
  2. Step 2: Convert to fraction form
    3,819.32/5,729.52 = 1,222.28/x
  3. Step 3: Cross multiply
    3,819.32x = 5,729.52 × 1,222.28
  4. Step 4: Simplify right side
    3,819.32x = 7,003,077.71
  5. Step 5: Solve for x
    x = 7,003,077.71/3,819.32
  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.