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Finding the Fourth Proportional to 3,830.73, 5,286.22 and 2,151.93

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Solution

The fourth proportional to 3,830.73, 5,286.22 and 2,151.93 is: 2,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.73 : 5,286.22 = 2,151.93 : x
  2. Step 2: Convert to fraction form
    3,830.73/5,286.22 = 2,151.93/x
  3. Step 3: Cross multiply
    3,830.73x = 5,286.22 × 2,151.93
  4. Step 4: Simplify right side
    3,830.73x = 11,375,575.40
  5. Step 5: Solve for x
    x = 11,375,575.40/3,830.73
  6. Step 6: Final answer
    x = 2,969.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.