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Finding the Fourth Proportional to 4,122.06, 6,183.81 and 1,813.50

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Solution

The fourth proportional to 4,122.06, 6,183.81 and 1,813.50 is: 2,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.06 : 6,183.81 = 1,813.50 : x
  2. Step 2: Convert to fraction form
    4,122.06/6,183.81 = 1,813.50/x
  3. Step 3: Cross multiply
    4,122.06x = 6,183.81 × 1,813.50
  4. Step 4: Simplify right side
    4,122.06x = 11,214,339.44
  5. Step 5: Solve for x
    x = 11,214,339.44/4,122.06
  6. Step 6: Final answer
    x = 2,720.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.