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Finding the Fourth Proportional to 4,183.62, 6,273.68 and 1,409.63

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Solution

The fourth proportional to 4,183.62, 6,273.68 and 1,409.63 is: 2,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.62 : 6,273.68 = 1,409.63 : x
  2. Step 2: Convert to fraction form
    4,183.62/6,273.68 = 1,409.63/x
  3. Step 3: Cross multiply
    4,183.62x = 6,273.68 × 1,409.63
  4. Step 4: Simplify right side
    4,183.62x = 8,843,529.12
  5. Step 5: Solve for x
    x = 8,843,529.12/4,183.62
  6. Step 6: Final answer
    x = 2,113.85

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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.