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Finding the Fourth Proportional to 5,727.92, 8,593.54 and 1,832.64

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Solution

The fourth proportional to 5,727.92, 8,593.54 and 1,832.64 is: 2,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.92 : 8,593.54 = 1,832.64 : x
  2. Step 2: Convert to fraction form
    5,727.92/8,593.54 = 1,832.64/x
  3. Step 3: Cross multiply
    5,727.92x = 8,593.54 × 1,832.64
  4. Step 4: Simplify right side
    5,727.92x = 15,748,865.15
  5. Step 5: Solve for x
    x = 15,748,865.15/5,727.92
  6. Step 6: Final answer
    x = 2,749.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.