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Finding the Fourth Proportional to 5,758, 7,944.16 and 3,399.68

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Solution

The fourth proportional to 5,758, 7,944.16 and 3,399.68 is: 4,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758 : 7,944.16 = 3,399.68 : x
  2. Step 2: Convert to fraction form
    5,758/7,944.16 = 3,399.68/x
  3. Step 3: Cross multiply
    5,758x = 7,944.16 × 3,399.68
  4. Step 4: Simplify right side
    5,758x = 27,007,601.87
  5. Step 5: Solve for x
    x = 27,007,601.87/5,758
  6. Step 6: Final answer
    x = 4,690.45

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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.