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Finding the Fourth Proportional to 5,600.46, 7,728.77 and 3,082.71

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Solution

The fourth proportional to 5,600.46, 7,728.77 and 3,082.71 is: 4,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.46 : 7,728.77 = 3,082.71 : x
  2. Step 2: Convert to fraction form
    5,600.46/7,728.77 = 3,082.71/x
  3. Step 3: Cross multiply
    5,600.46x = 7,728.77 × 3,082.71
  4. Step 4: Simplify right side
    5,600.46x = 23,825,541.15
  5. Step 5: Solve for x
    x = 23,825,541.15/5,600.46
  6. Step 6: Final answer
    x = 4,254.21

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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.