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Finding the Fourth Proportional to 4,096.92, 5,653.83 and 2,233.92

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Solution

The fourth proportional to 4,096.92, 5,653.83 and 2,233.92 is: 3,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.92 : 5,653.83 = 2,233.92 : x
  2. Step 2: Convert to fraction form
    4,096.92/5,653.83 = 2,233.92/x
  3. Step 3: Cross multiply
    4,096.92x = 5,653.83 × 2,233.92
  4. Step 4: Simplify right side
    4,096.92x = 12,630,203.91
  5. Step 5: Solve for x
    x = 12,630,203.91/4,096.92
  6. Step 6: Final answer
    x = 3,082.85

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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.