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Finding the Fourth Proportional to 5,736.96, 7,916.52 and 3,218.73

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Solution

The fourth proportional to 5,736.96, 7,916.52 and 3,218.73 is: 4,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.96 : 7,916.52 = 3,218.73 : x
  2. Step 2: Convert to fraction form
    5,736.96/7,916.52 = 3,218.73/x
  3. Step 3: Cross multiply
    5,736.96x = 7,916.52 × 3,218.73
  4. Step 4: Simplify right side
    5,736.96x = 25,481,140.42
  5. Step 5: Solve for x
    x = 25,481,140.42/5,736.96
  6. Step 6: Final answer
    x = 4,441.58

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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.