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Finding the Fourth Proportional to 4,122.86, 6,183.62 and 1,349.49

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Solution

The fourth proportional to 4,122.86, 6,183.62 and 1,349.49 is: 2,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.86 : 6,183.62 = 1,349.49 : x
  2. Step 2: Convert to fraction form
    4,122.86/6,183.62 = 1,349.49/x
  3. Step 3: Cross multiply
    4,122.86x = 6,183.62 × 1,349.49
  4. Step 4: Simplify right side
    4,122.86x = 8,344,733.35
  5. Step 5: Solve for x
    x = 8,344,733.35/4,122.86
  6. Step 6: Final answer
    x = 2,024.02

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