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Finding the Fourth Proportional to 3,841.68, 5,763.20 and 1,342.73

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Solution

The fourth proportional to 3,841.68, 5,763.20 and 1,342.73 is: 2,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.68 : 5,763.20 = 1,342.73 : x
  2. Step 2: Convert to fraction form
    3,841.68/5,763.20 = 1,342.73/x
  3. Step 3: Cross multiply
    3,841.68x = 5,763.20 × 1,342.73
  4. Step 4: Simplify right side
    3,841.68x = 7,738,404.37
  5. Step 5: Solve for x
    x = 7,738,404.37/3,841.68
  6. Step 6: Final answer
    x = 2,014.33

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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.