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Finding the Fourth Proportional to 3,802, 5,705.52 and 1,493.68

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Solution

The fourth proportional to 3,802, 5,705.52 and 1,493.68 is: 2,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802 : 5,705.52 = 1,493.68 : x
  2. Step 2: Convert to fraction form
    3,802/5,705.52 = 1,493.68/x
  3. Step 3: Cross multiply
    3,802x = 5,705.52 × 1,493.68
  4. Step 4: Simplify right side
    3,802x = 8,522,221.11
  5. Step 5: Solve for x
    x = 8,522,221.11/3,802
  6. Step 6: Final answer
    x = 2,241.51

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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.