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Finding the Fourth Proportional to 5,745.37, 8,611.38 and 3,281.92

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Solution

The fourth proportional to 5,745.37, 8,611.38 and 3,281.92 is: 4,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.37 : 8,611.38 = 3,281.92 : x
  2. Step 2: Convert to fraction form
    5,745.37/8,611.38 = 3,281.92/x
  3. Step 3: Cross multiply
    5,745.37x = 8,611.38 × 3,281.92
  4. Step 4: Simplify right side
    5,745.37x = 28,261,860.25
  5. Step 5: Solve for x
    x = 28,261,860.25/5,745.37
  6. Step 6: Final answer
    x = 4,919.07

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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.