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Finding the Fourth Proportional to 3,821, 5,732.22 and 1,769

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Solution

The fourth proportional to 3,821, 5,732.22 and 1,769 is: 2,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821 : 5,732.22 = 1,769 : x
  2. Step 2: Convert to fraction form
    3,821/5,732.22 = 1,769/x
  3. Step 3: Cross multiply
    3,821x = 5,732.22 × 1,769
  4. Step 4: Simplify right side
    3,821x = 10,140,297.18
  5. Step 5: Solve for x
    x = 10,140,297.18/3,821
  6. Step 6: Final answer
    x = 2,653.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.