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Finding the Fourth Proportional to 3,226.97, 4,841.21 and 1,005.69

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Solution

The fourth proportional to 3,226.97, 4,841.21 and 1,005.69 is: 1,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.97 : 4,841.21 = 1,005.69 : x
  2. Step 2: Convert to fraction form
    3,226.97/4,841.21 = 1,005.69/x
  3. Step 3: Cross multiply
    3,226.97x = 4,841.21 × 1,005.69
  4. Step 4: Simplify right side
    3,226.97x = 4,868,777.15
  5. Step 5: Solve for x
    x = 4,868,777.15/3,226.97
  6. Step 6: Final answer
    x = 1,508.78

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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.