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Finding the Fourth Proportional to 3,899.82, 5,381.72 and 2,131.42

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Solution

The fourth proportional to 3,899.82, 5,381.72 and 2,131.42 is: 2,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.82 : 5,381.72 = 2,131.42 : x
  2. Step 2: Convert to fraction form
    3,899.82/5,381.72 = 2,131.42/x
  3. Step 3: Cross multiply
    3,899.82x = 5,381.72 × 2,131.42
  4. Step 4: Simplify right side
    3,899.82x = 11,470,705.64
  5. Step 5: Solve for x
    x = 11,470,705.64/3,899.82
  6. Step 6: Final answer
    x = 2,941.34

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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.