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Finding the Fourth Proportional to 5,835.69, 8,053.46 and 3,183.21

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Solution

The fourth proportional to 5,835.69, 8,053.46 and 3,183.21 is: 4,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.69 : 8,053.46 = 3,183.21 : x
  2. Step 2: Convert to fraction form
    5,835.69/8,053.46 = 3,183.21/x
  3. Step 3: Cross multiply
    5,835.69x = 8,053.46 × 3,183.21
  4. Step 4: Simplify right side
    5,835.69x = 25,635,838.49
  5. Step 5: Solve for x
    x = 25,635,838.49/5,835.69
  6. Step 6: Final answer
    x = 4,392.94

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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.