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Finding the Fourth Proportional to 5,728.05, 8,592.08 and 1,832.49

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Solution

The fourth proportional to 5,728.05, 8,592.08 and 1,832.49 is: 2,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.05 : 8,592.08 = 1,832.49 : x
  2. Step 2: Convert to fraction form
    5,728.05/8,592.08 = 1,832.49/x
  3. Step 3: Cross multiply
    5,728.05x = 8,592.08 × 1,832.49
  4. Step 4: Simplify right side
    5,728.05x = 15,744,891.52
  5. Step 5: Solve for x
    x = 15,744,891.52/5,728.05
  6. Step 6: Final answer
    x = 2,748.74

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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.