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Finding the Fourth Proportional to 5,728.86, 8,593.52 and 2,439.71

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Solution

The fourth proportional to 5,728.86, 8,593.52 and 2,439.71 is: 3,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.86 : 8,593.52 = 2,439.71 : x
  2. Step 2: Convert to fraction form
    5,728.86/8,593.52 = 2,439.71/x
  3. Step 3: Cross multiply
    5,728.86x = 8,593.52 × 2,439.71
  4. Step 4: Simplify right side
    5,728.86x = 20,965,641.51
  5. Step 5: Solve for x
    x = 20,965,641.51/5,728.86
  6. Step 6: Final answer
    x = 3,659.65

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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.