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Finding the Fourth Proportional to 5,669.46, 8,493.12 and 3,196.80

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Solution

The fourth proportional to 5,669.46, 8,493.12 and 3,196.80 is: 4,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.46 : 8,493.12 = 3,196.80 : x
  2. Step 2: Convert to fraction form
    5,669.46/8,493.12 = 3,196.80/x
  3. Step 3: Cross multiply
    5,669.46x = 8,493.12 × 3,196.80
  4. Step 4: Simplify right side
    5,669.46x = 27,150,806.02
  5. Step 5: Solve for x
    x = 27,150,806.02/5,669.46
  6. Step 6: Final answer
    x = 4,788.96

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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.