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Finding the Fourth Proportional to 5,278.92, 7,285.14 and 3,183

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Solution

The fourth proportional to 5,278.92, 7,285.14 and 3,183 is: 4,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.92 : 7,285.14 = 3,183 : x
  2. Step 2: Convert to fraction form
    5,278.92/7,285.14 = 3,183/x
  3. Step 3: Cross multiply
    5,278.92x = 7,285.14 × 3,183
  4. Step 4: Simplify right side
    5,278.92x = 23,188,600.62
  5. Step 5: Solve for x
    x = 23,188,600.62/5,278.92
  6. Step 6: Final answer
    x = 4,392.68

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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.