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Finding the Fourth Proportional to 5,836.47, 8,054.31 and 3,183.88

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Solution

The fourth proportional to 5,836.47, 8,054.31 and 3,183.88 is: 4,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.47 : 8,054.31 = 3,183.88 : x
  2. Step 2: Convert to fraction form
    5,836.47/8,054.31 = 3,183.88/x
  3. Step 3: Cross multiply
    5,836.47x = 8,054.31 × 3,183.88
  4. Step 4: Simplify right side
    5,836.47x = 25,643,951.64
  5. Step 5: Solve for x
    x = 25,643,951.64/5,836.47
  6. Step 6: Final answer
    x = 4,393.74

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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.