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Finding the Fourth Proportional to 5,600.50, 7,728.87 and 3,082.48

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Solution

The fourth proportional to 5,600.50, 7,728.87 and 3,082.48 is: 4,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.50 : 7,728.87 = 3,082.48 : x
  2. Step 2: Convert to fraction form
    5,600.50/7,728.87 = 3,082.48/x
  3. Step 3: Cross multiply
    5,600.50x = 7,728.87 × 3,082.48
  4. Step 4: Simplify right side
    5,600.50x = 23,824,087.20
  5. Step 5: Solve for x
    x = 23,824,087.20/5,600.50
  6. Step 6: Final answer
    x = 4,253.92

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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.