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Finding the Fourth Proportional to 3,738.98, 5,608.05 and 965.54

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Solution

The fourth proportional to 3,738.98, 5,608.05 and 965.54 is: 1,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.98 : 5,608.05 = 965.54 : x
  2. Step 2: Convert to fraction form
    3,738.98/5,608.05 = 965.54/x
  3. Step 3: Cross multiply
    3,738.98x = 5,608.05 × 965.54
  4. Step 4: Simplify right side
    3,738.98x = 5,414,796.60
  5. Step 5: Solve for x
    x = 5,414,796.60/3,738.98
  6. Step 6: Final answer
    x = 1,448.20

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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.