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Finding the Fourth Proportional to 3,740.80, 5,611.20 and 3,683.20

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Solution

The fourth proportional to 3,740.80, 5,611.20 and 3,683.20 is: 5,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.80 : 5,611.20 = 3,683.20 : x
  2. Step 2: Convert to fraction form
    3,740.80/5,611.20 = 3,683.20/x
  3. Step 3: Cross multiply
    3,740.80x = 5,611.20 × 3,683.20
  4. Step 4: Simplify right side
    3,740.80x = 20,667,171.84
  5. Step 5: Solve for x
    x = 20,667,171.84/3,740.80
  6. Step 6: Final answer
    x = 5,524.80

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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.