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Finding the Fourth Proportional to 3,830.67, 5,286.42 and 2,992.32

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Solution

The fourth proportional to 3,830.67, 5,286.42 and 2,992.32 is: 4,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.67 : 5,286.42 = 2,992.32 : x
  2. Step 2: Convert to fraction form
    3,830.67/5,286.42 = 2,992.32/x
  3. Step 3: Cross multiply
    3,830.67x = 5,286.42 × 2,992.32
  4. Step 4: Simplify right side
    3,830.67x = 15,818,660.29
  5. Step 5: Solve for x
    x = 15,818,660.29/3,830.67
  6. Step 6: Final answer
    x = 4,129.48

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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.