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Finding the Fourth Proportional to 4,906.20, 7,361.70 and 3,735.80

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Solution

The fourth proportional to 4,906.20, 7,361.70 and 3,735.80 is: 5,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.20 : 7,361.70 = 3,735.80 : x
  2. Step 2: Convert to fraction form
    4,906.20/7,361.70 = 3,735.80/x
  3. Step 3: Cross multiply
    4,906.20x = 7,361.70 × 3,735.80
  4. Step 4: Simplify right side
    4,906.20x = 27,501,838.86
  5. Step 5: Solve for x
    x = 27,501,838.86/4,906.20
  6. Step 6: Final answer
    x = 5,605.53

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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.