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Finding the Fourth Proportional to 4,906.53, 7,361.01 and 1,443.78

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Solution

The fourth proportional to 4,906.53, 7,361.01 and 1,443.78 is: 2,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.53 : 7,361.01 = 1,443.78 : x
  2. Step 2: Convert to fraction form
    4,906.53/7,361.01 = 1,443.78/x
  3. Step 3: Cross multiply
    4,906.53x = 7,361.01 × 1,443.78
  4. Step 4: Simplify right side
    4,906.53x = 10,627,679.02
  5. Step 5: Solve for x
    x = 10,627,679.02/4,906.53
  6. Step 6: Final answer
    x = 2,166.03

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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.