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Finding the Fourth Proportional to 3,196.64, 4,788.84 and 2,822.24

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Solution

The fourth proportional to 3,196.64, 4,788.84 and 2,822.24 is: 4,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.64 : 4,788.84 = 2,822.24 : x
  2. Step 2: Convert to fraction form
    3,196.64/4,788.84 = 2,822.24/x
  3. Step 3: Cross multiply
    3,196.64x = 4,788.84 × 2,822.24
  4. Step 4: Simplify right side
    3,196.64x = 13,515,255.80
  5. Step 5: Solve for x
    x = 13,515,255.80/3,196.64
  6. Step 6: Final answer
    x = 4,227.96

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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.