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Finding the Fourth Proportional to 3,899.61, 5,381.57 and 2,131.31

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Solution

The fourth proportional to 3,899.61, 5,381.57 and 2,131.31 is: 2,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.61 : 5,381.57 = 2,131.31 : x
  2. Step 2: Convert to fraction form
    3,899.61/5,381.57 = 2,131.31/x
  3. Step 3: Cross multiply
    3,899.61x = 5,381.57 × 2,131.31
  4. Step 4: Simplify right side
    3,899.61x = 11,469,793.96
  5. Step 5: Solve for x
    x = 11,469,793.96/3,899.61
  6. Step 6: Final answer
    x = 2,941.27

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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.