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Finding the Fourth Proportional to 4,144.56, 6,219.24 and 3,823.80

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Solution

The fourth proportional to 4,144.56, 6,219.24 and 3,823.80 is: 5,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.56 : 6,219.24 = 3,823.80 : x
  2. Step 2: Convert to fraction form
    4,144.56/6,219.24 = 3,823.80/x
  3. Step 3: Cross multiply
    4,144.56x = 6,219.24 × 3,823.80
  4. Step 4: Simplify right side
    4,144.56x = 23,781,129.91
  5. Step 5: Solve for x
    x = 23,781,129.91/4,144.56
  6. Step 6: Final answer
    x = 5,737.91

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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.