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Finding the Fourth Proportional to 3,740.44, 5,611.07 and 1,274.80

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Solution

The fourth proportional to 3,740.44, 5,611.07 and 1,274.80 is: 1,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.44 : 5,611.07 = 1,274.80 : x
  2. Step 2: Convert to fraction form
    3,740.44/5,611.07 = 1,274.80/x
  3. Step 3: Cross multiply
    3,740.44x = 5,611.07 × 1,274.80
  4. Step 4: Simplify right side
    3,740.44x = 7,152,957.61
  5. Step 5: Solve for x
    x = 7,152,957.61/3,740.44
  6. Step 6: Final answer
    x = 1,912.33

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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.