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Finding the Fourth Proportional to 5,849.44, 8,771.32 and 2,728.72

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Solution

The fourth proportional to 5,849.44, 8,771.32 and 2,728.72 is: 4,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.44 : 8,771.32 = 2,728.72 : x
  2. Step 2: Convert to fraction form
    5,849.44/8,771.32 = 2,728.72/x
  3. Step 3: Cross multiply
    5,849.44x = 8,771.32 × 2,728.72
  4. Step 4: Simplify right side
    5,849.44x = 23,934,476.31
  5. Step 5: Solve for x
    x = 23,934,476.31/5,849.44
  6. Step 6: Final answer
    x = 4,091.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.