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Finding the Fourth Proportional to 5,728.10, 7,906.66 and 3,491.42

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Solution

The fourth proportional to 5,728.10, 7,906.66 and 3,491.42 is: 4,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.10 : 7,906.66 = 3,491.42 : x
  2. Step 2: Convert to fraction form
    5,728.10/7,906.66 = 3,491.42/x
  3. Step 3: Cross multiply
    5,728.10x = 7,906.66 × 3,491.42
  4. Step 4: Simplify right side
    5,728.10x = 27,605,470.86
  5. Step 5: Solve for x
    x = 27,605,470.86/5,728.10
  6. Step 6: Final answer
    x = 4,819.31

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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.