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Finding the Fourth Proportional to 3,786.42, 5,679.92 and 1,321.18

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Solution

The fourth proportional to 3,786.42, 5,679.92 and 1,321.18 is: 1,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.42 : 5,679.92 = 1,321.18 : x
  2. Step 2: Convert to fraction form
    3,786.42/5,679.92 = 1,321.18/x
  3. Step 3: Cross multiply
    3,786.42x = 5,679.92 × 1,321.18
  4. Step 4: Simplify right side
    3,786.42x = 7,504,196.71
  5. Step 5: Solve for x
    x = 7,504,196.71/3,786.42
  6. Step 6: Final answer
    x = 1,981.87

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