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Finding the Fourth Proportional to 3,827.97, 5,744.21 and 1,606.62

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Solution

The fourth proportional to 3,827.97, 5,744.21 and 1,606.62 is: 2,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.97 : 5,744.21 = 1,606.62 : x
  2. Step 2: Convert to fraction form
    3,827.97/5,744.21 = 1,606.62/x
  3. Step 3: Cross multiply
    3,827.97x = 5,744.21 × 1,606.62
  4. Step 4: Simplify right side
    3,827.97x = 9,228,754.64
  5. Step 5: Solve for x
    x = 9,228,754.64/3,827.97
  6. Step 6: Final answer
    x = 2,410.87

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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.