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Finding the Fourth Proportional to 5,786.72, 7,983.76 and 3,268.48

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Solution

The fourth proportional to 5,786.72, 7,983.76 and 3,268.48 is: 4,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.72 : 7,983.76 = 3,268.48 : x
  2. Step 2: Convert to fraction form
    5,786.72/7,983.76 = 3,268.48/x
  3. Step 3: Cross multiply
    5,786.72x = 7,983.76 × 3,268.48
  4. Step 4: Simplify right side
    5,786.72x = 26,094,759.88
  5. Step 5: Solve for x
    x = 26,094,759.88/5,786.72
  6. Step 6: Final answer
    x = 4,509.42

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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.