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Finding the Fourth Proportional to 3,899.64, 5,381.54 and 2,131.35

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Solution

The fourth proportional to 3,899.64, 5,381.54 and 2,131.35 is: 2,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.64 : 5,381.54 = 2,131.35 : x
  2. Step 2: Convert to fraction form
    3,899.64/5,381.54 = 2,131.35/x
  3. Step 3: Cross multiply
    3,899.64x = 5,381.54 × 2,131.35
  4. Step 4: Simplify right side
    3,899.64x = 11,469,945.28
  5. Step 5: Solve for x
    x = 11,469,945.28/3,899.64
  6. Step 6: Final answer
    x = 2,941.28

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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.