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Finding the Fourth Proportional to 5,836.61, 8,054.52 and 3,183.96

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Solution

The fourth proportional to 5,836.61, 8,054.52 and 3,183.96 is: 4,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.61 : 8,054.52 = 3,183.96 : x
  2. Step 2: Convert to fraction form
    5,836.61/8,054.52 = 3,183.96/x
  3. Step 3: Cross multiply
    5,836.61x = 8,054.52 × 3,183.96
  4. Step 4: Simplify right side
    5,836.61x = 25,645,269.50
  5. Step 5: Solve for x
    x = 25,645,269.50/5,836.61
  6. Step 6: Final answer
    x = 4,393.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.