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Finding the Fourth Proportional to 5,187.44, 7,768.20 and 3,233.72

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Solution

The fourth proportional to 5,187.44, 7,768.20 and 3,233.72 is: 4,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.44 : 7,768.20 = 3,233.72 : x
  2. Step 2: Convert to fraction form
    5,187.44/7,768.20 = 3,233.72/x
  3. Step 3: Cross multiply
    5,187.44x = 7,768.20 × 3,233.72
  4. Step 4: Simplify right side
    5,187.44x = 25,120,183.70
  5. Step 5: Solve for x
    x = 25,120,183.70/5,187.44
  6. Step 6: Final answer
    x = 4,842.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.