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Finding the Fourth Proportional to 4,161.35, 6,235.86 and 1,819.21

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Solution

The fourth proportional to 4,161.35, 6,235.86 and 1,819.21 is: 2,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.35 : 6,235.86 = 1,819.21 : x
  2. Step 2: Convert to fraction form
    4,161.35/6,235.86 = 1,819.21/x
  3. Step 3: Cross multiply
    4,161.35x = 6,235.86 × 1,819.21
  4. Step 4: Simplify right side
    4,161.35x = 11,344,338.87
  5. Step 5: Solve for x
    x = 11,344,338.87/4,161.35
  6. Step 6: Final answer
    x = 2,726.12

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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.