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Finding the Fourth Proportional to 4,096.79, 5,653.56 and 2,233.79

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Solution

The fourth proportional to 4,096.79, 5,653.56 and 2,233.79 is: 3,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.79 : 5,653.56 = 2,233.79 : x
  2. Step 2: Convert to fraction form
    4,096.79/5,653.56 = 2,233.79/x
  3. Step 3: Cross multiply
    4,096.79x = 5,653.56 × 2,233.79
  4. Step 4: Simplify right side
    4,096.79x = 12,628,837.52
  5. Step 5: Solve for x
    x = 12,628,837.52/4,096.79
  6. Step 6: Final answer
    x = 3,082.62

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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.