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Finding the Fourth Proportional to 5,835.80, 8,053.52 and 3,183.28

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Solution

The fourth proportional to 5,835.80, 8,053.52 and 3,183.28 is: 4,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.80 : 8,053.52 = 3,183.28 : x
  2. Step 2: Convert to fraction form
    5,835.80/8,053.52 = 3,183.28/x
  3. Step 3: Cross multiply
    5,835.80x = 8,053.52 × 3,183.28
  4. Step 4: Simplify right side
    5,835.80x = 25,636,609.15
  5. Step 5: Solve for x
    x = 25,636,609.15/5,835.80
  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.