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Finding the Fourth Proportional to 5,836.33, 8,053.97 and 3,183.74

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Solution

The fourth proportional to 5,836.33, 8,053.97 and 3,183.74 is: 4,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.33 : 8,053.97 = 3,183.74 : x
  2. Step 2: Convert to fraction form
    5,836.33/8,053.97 = 3,183.74/x
  3. Step 3: Cross multiply
    5,836.33x = 8,053.97 × 3,183.74
  4. Step 4: Simplify right side
    5,836.33x = 25,641,714.14
  5. Step 5: Solve for x
    x = 25,641,714.14/5,836.33
  6. Step 6: Final answer
    x = 4,393.47

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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.