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Finding the Fourth Proportional to 5,600.52, 7,728.76 and 3,082.80

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Solution

The fourth proportional to 5,600.52, 7,728.76 and 3,082.80 is: 4,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.52 : 7,728.76 = 3,082.80 : x
  2. Step 2: Convert to fraction form
    5,600.52/7,728.76 = 3,082.80/x
  3. Step 3: Cross multiply
    5,600.52x = 7,728.76 × 3,082.80
  4. Step 4: Simplify right side
    5,600.52x = 23,826,221.33
  5. Step 5: Solve for x
    x = 23,826,221.33/5,600.52
  6. Step 6: Final answer
    x = 4,254.29

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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.