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Finding the Fourth Proportional to 3,361.44, 5,039.20 and 1,308

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Solution

The fourth proportional to 3,361.44, 5,039.20 and 1,308 is: 1,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.44 : 5,039.20 = 1,308 : x
  2. Step 2: Convert to fraction form
    3,361.44/5,039.20 = 1,308/x
  3. Step 3: Cross multiply
    3,361.44x = 5,039.20 × 1,308
  4. Step 4: Simplify right side
    3,361.44x = 6,591,273.60
  5. Step 5: Solve for x
    x = 6,591,273.60/3,361.44
  6. Step 6: Final answer
    x = 1,960.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.