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Finding the Fourth Proportional to 5,836.06, 8,053.62 and 3,183.49

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Solution

The fourth proportional to 5,836.06, 8,053.62 and 3,183.49 is: 4,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.06 : 8,053.62 = 3,183.49 : x
  2. Step 2: Convert to fraction form
    5,836.06/8,053.62 = 3,183.49/x
  3. Step 3: Cross multiply
    5,836.06x = 8,053.62 × 3,183.49
  4. Step 4: Simplify right side
    5,836.06x = 25,638,578.47
  5. Step 5: Solve for x
    x = 25,638,578.47/5,836.06
  6. Step 6: Final answer
    x = 4,393.14

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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.