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Finding the Fourth Proportional to 5,930.74, 8,183.99 and 3,278.19

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Solution

The fourth proportional to 5,930.74, 8,183.99 and 3,278.19 is: 4,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.74 : 8,183.99 = 3,278.19 : x
  2. Step 2: Convert to fraction form
    5,930.74/8,183.99 = 3,278.19/x
  3. Step 3: Cross multiply
    5,930.74x = 8,183.99 × 3,278.19
  4. Step 4: Simplify right side
    5,930.74x = 26,828,657.79
  5. Step 5: Solve for x
    x = 26,828,657.79/5,930.74
  6. Step 6: Final answer
    x = 4,523.66

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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.