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Finding the Fourth Proportional to 5,847.21, 8,069.22 and 3,194.64

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Solution

The fourth proportional to 5,847.21, 8,069.22 and 3,194.64 is: 4,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.21 : 8,069.22 = 3,194.64 : x
  2. Step 2: Convert to fraction form
    5,847.21/8,069.22 = 3,194.64/x
  3. Step 3: Cross multiply
    5,847.21x = 8,069.22 × 3,194.64
  4. Step 4: Simplify right side
    5,847.21x = 25,778,252.98
  5. Step 5: Solve for x
    x = 25,778,252.98/5,847.21
  6. Step 6: Final answer
    x = 4,408.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.