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Finding the Fourth Proportional to 3,183.92, 4,774.10 and 2,529.98

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Solution

The fourth proportional to 3,183.92, 4,774.10 and 2,529.98 is: 3,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.92 : 4,774.10 = 2,529.98 : x
  2. Step 2: Convert to fraction form
    3,183.92/4,774.10 = 2,529.98/x
  3. Step 3: Cross multiply
    3,183.92x = 4,774.10 × 2,529.98
  4. Step 4: Simplify right side
    3,183.92x = 12,078,383.84
  5. Step 5: Solve for x
    x = 12,078,383.84/3,183.92
  6. Step 6: Final answer
    x = 3,793.56

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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.