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Finding the Fourth Proportional to 3,821, 5,727.54 and 1,631.12

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Solution

The fourth proportional to 3,821, 5,727.54 and 1,631.12 is: 2,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821 : 5,727.54 = 1,631.12 : x
  2. Step 2: Convert to fraction form
    3,821/5,727.54 = 1,631.12/x
  3. Step 3: Cross multiply
    3,821x = 5,727.54 × 1,631.12
  4. Step 4: Simplify right side
    3,821x = 9,342,305.04
  5. Step 5: Solve for x
    x = 9,342,305.04/3,821
  6. Step 6: Final answer
    x = 2,444.99

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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.