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Finding the Fourth Proportional to 5,836.55, 8,054.31 and 3,183.90

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Solution

The fourth proportional to 5,836.55, 8,054.31 and 3,183.90 is: 4,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.55 : 8,054.31 = 3,183.90 : x
  2. Step 2: Convert to fraction form
    5,836.55/8,054.31 = 3,183.90/x
  3. Step 3: Cross multiply
    5,836.55x = 8,054.31 × 3,183.90
  4. Step 4: Simplify right side
    5,836.55x = 25,644,117.61
  5. Step 5: Solve for x
    x = 25,644,117.61/5,836.55
  6. Step 6: Final answer
    x = 4,393.72

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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.