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Finding the Fourth Proportional to 3,860.28, 5,777.46 and 3,205.80

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Solution

The fourth proportional to 3,860.28, 5,777.46 and 3,205.80 is: 4,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.28 : 5,777.46 = 3,205.80 : x
  2. Step 2: Convert to fraction form
    3,860.28/5,777.46 = 3,205.80/x
  3. Step 3: Cross multiply
    3,860.28x = 5,777.46 × 3,205.80
  4. Step 4: Simplify right side
    3,860.28x = 18,521,381.27
  5. Step 5: Solve for x
    x = 18,521,381.27/3,860.28
  6. Step 6: Final answer
    x = 4,797.94

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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.