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Finding the Fourth Proportional to 4,122.68, 6,183.94 and 1,002.71

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Solution

The fourth proportional to 4,122.68, 6,183.94 and 1,002.71 is: 1,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.68 : 6,183.94 = 1,002.71 : x
  2. Step 2: Convert to fraction form
    4,122.68/6,183.94 = 1,002.71/x
  3. Step 3: Cross multiply
    4,122.68x = 6,183.94 × 1,002.71
  4. Step 4: Simplify right side
    4,122.68x = 6,200,698.48
  5. Step 5: Solve for x
    x = 6,200,698.48/4,122.68
  6. Step 6: Final answer
    x = 1,504.05

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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.