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Finding the Fourth Proportional to 5,835.89, 8,053.56 and 3,183.31

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Solution

The fourth proportional to 5,835.89, 8,053.56 and 3,183.31 is: 4,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.89 : 8,053.56 = 3,183.31 : x
  2. Step 2: Convert to fraction form
    5,835.89/8,053.56 = 3,183.31/x
  3. Step 3: Cross multiply
    5,835.89x = 8,053.56 × 3,183.31
  4. Step 4: Simplify right side
    5,835.89x = 25,636,978.08
  5. Step 5: Solve for x
    x = 25,636,978.08/5,835.89
  6. Step 6: Final answer
    x = 4,392.99

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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.