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Finding the Fourth Proportional to 5,836.42, 8,054.36 and 3,183.92

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Solution

The fourth proportional to 5,836.42, 8,054.36 and 3,183.92 is: 4,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.42 : 8,054.36 = 3,183.92 : x
  2. Step 2: Convert to fraction form
    5,836.42/8,054.36 = 3,183.92/x
  3. Step 3: Cross multiply
    5,836.42x = 8,054.36 × 3,183.92
  4. Step 4: Simplify right side
    5,836.42x = 25,644,437.89
  5. Step 5: Solve for x
    x = 25,644,437.89/5,836.42
  6. Step 6: Final answer
    x = 4,393.86

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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.