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Finding the Fourth Proportional to 3,899.25, 5,380.97 and 2,243.25

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Solution

The fourth proportional to 3,899.25, 5,380.97 and 2,243.25 is: 3,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.25 : 5,380.97 = 2,243.25 : x
  2. Step 2: Convert to fraction form
    3,899.25/5,380.97 = 2,243.25/x
  3. Step 3: Cross multiply
    3,899.25x = 5,380.97 × 2,243.25
  4. Step 4: Simplify right side
    3,899.25x = 12,070,849.74
  5. Step 5: Solve for x
    x = 12,070,849.74/3,899.25
  6. Step 6: Final answer
    x = 3,095.69

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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.