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Finding the Fourth Proportional to 3,832.92, 5,290.11 and 2,261.93

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Solution

The fourth proportional to 3,832.92, 5,290.11 and 2,261.93 is: 3,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.92 : 5,290.11 = 2,261.93 : x
  2. Step 2: Convert to fraction form
    3,832.92/5,290.11 = 2,261.93/x
  3. Step 3: Cross multiply
    3,832.92x = 5,290.11 × 2,261.93
  4. Step 4: Simplify right side
    3,832.92x = 11,965,832.06
  5. Step 5: Solve for x
    x = 11,965,832.06/3,832.92
  6. Step 6: Final answer
    x = 3,121.86

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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.