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Finding the Fourth Proportional to 5,600.24, 7,728.81 and 3,082.85

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Solution

The fourth proportional to 5,600.24, 7,728.81 and 3,082.85 is: 4,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.24 : 7,728.81 = 3,082.85 : x
  2. Step 2: Convert to fraction form
    5,600.24/7,728.81 = 3,082.85/x
  3. Step 3: Cross multiply
    5,600.24x = 7,728.81 × 3,082.85
  4. Step 4: Simplify right side
    5,600.24x = 23,826,761.91
  5. Step 5: Solve for x
    x = 23,826,761.91/5,600.24
  6. Step 6: Final answer
    x = 4,254.60

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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.