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Finding the Fourth Proportional to 5,553.12, 7,662.96 and 3,194.88

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Solution

The fourth proportional to 5,553.12, 7,662.96 and 3,194.88 is: 4,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553.12 : 7,662.96 = 3,194.88 : x
  2. Step 2: Convert to fraction form
    5,553.12/7,662.96 = 3,194.88/x
  3. Step 3: Cross multiply
    5,553.12x = 7,662.96 × 3,194.88
  4. Step 4: Simplify right side
    5,553.12x = 24,482,237.64
  5. Step 5: Solve for x
    x = 24,482,237.64/5,553.12
  6. Step 6: Final answer
    x = 4,408.74

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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.