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Finding the Fourth Proportional to 4,296.14, 5,944.92 and 3,665.72

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Solution

The fourth proportional to 4,296.14, 5,944.92 and 3,665.72 is: 5,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.14 : 5,944.92 = 3,665.72 : x
  2. Step 2: Convert to fraction form
    4,296.14/5,944.92 = 3,665.72/x
  3. Step 3: Cross multiply
    4,296.14x = 5,944.92 × 3,665.72
  4. Step 4: Simplify right side
    4,296.14x = 21,792,412.14
  5. Step 5: Solve for x
    x = 21,792,412.14/4,296.14
  6. Step 6: Final answer
    x = 5,072.56

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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.