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Finding the Fourth Proportional to 4,827.44, 7,233.88 and 2,193.44

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Solution

The fourth proportional to 4,827.44, 7,233.88 and 2,193.44 is: 3,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.44 : 7,233.88 = 2,193.44 : x
  2. Step 2: Convert to fraction form
    4,827.44/7,233.88 = 2,193.44/x
  3. Step 3: Cross multiply
    4,827.44x = 7,233.88 × 2,193.44
  4. Step 4: Simplify right side
    4,827.44x = 15,867,081.75
  5. Step 5: Solve for x
    x = 15,867,081.75/4,827.44
  6. Step 6: Final answer
    x = 3,286.85

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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.