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Finding the Fourth Proportional to 5,836.35, 8,054.16 and 3,183.75

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Solution

The fourth proportional to 5,836.35, 8,054.16 and 3,183.75 is: 4,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.35 : 8,054.16 = 3,183.75 : x
  2. Step 2: Convert to fraction form
    5,836.35/8,054.16 = 3,183.75/x
  3. Step 3: Cross multiply
    5,836.35x = 8,054.16 × 3,183.75
  4. Step 4: Simplify right side
    5,836.35x = 25,642,431.90
  5. Step 5: Solve for x
    x = 25,642,431.90/5,836.35
  6. Step 6: Final answer
    x = 4,393.57

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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.