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Finding the Fourth Proportional to 4,151.86, 5,728.12 and 2,738.21

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Solution

The fourth proportional to 4,151.86, 5,728.12 and 2,738.21 is: 3,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.86 : 5,728.12 = 2,738.21 : x
  2. Step 2: Convert to fraction form
    4,151.86/5,728.12 = 2,738.21/x
  3. Step 3: Cross multiply
    4,151.86x = 5,728.12 × 2,738.21
  4. Step 4: Simplify right side
    4,151.86x = 15,684,759.98
  5. Step 5: Solve for x
    x = 15,684,759.98/4,151.86
  6. Step 6: Final answer
    x = 3,777.77

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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.