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Finding the Fourth Proportional to 3,899.57, 5,381.42 and 2,131.19

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Solution

The fourth proportional to 3,899.57, 5,381.42 and 2,131.19 is: 2,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.57 : 5,381.42 = 2,131.19 : x
  2. Step 2: Convert to fraction form
    3,899.57/5,381.42 = 2,131.19/x
  3. Step 3: Cross multiply
    3,899.57x = 5,381.42 × 2,131.19
  4. Step 4: Simplify right side
    3,899.57x = 11,468,790.93
  5. Step 5: Solve for x
    x = 11,468,790.93/3,899.57
  6. Step 6: Final answer
    x = 2,941.04

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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.