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Finding the Fourth Proportional to 3,883.95, 5,361.80 and 2,469.06

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Solution

The fourth proportional to 3,883.95, 5,361.80 and 2,469.06 is: 3,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.95 : 5,361.80 = 2,469.06 : x
  2. Step 2: Convert to fraction form
    3,883.95/5,361.80 = 2,469.06/x
  3. Step 3: Cross multiply
    3,883.95x = 5,361.80 × 2,469.06
  4. Step 4: Simplify right side
    3,883.95x = 13,238,593.56
  5. Step 5: Solve for x
    x = 13,238,593.56/3,883.95
  6. Step 6: Final answer
    x = 3,408.54

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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.