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Finding the Fourth Proportional to 4,183.92, 6,272.04 and 1,446

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Solution

The fourth proportional to 4,183.92, 6,272.04 and 1,446 is: 2,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.92 : 6,272.04 = 1,446 : x
  2. Step 2: Convert to fraction form
    4,183.92/6,272.04 = 1,446/x
  3. Step 3: Cross multiply
    4,183.92x = 6,272.04 × 1,446
  4. Step 4: Simplify right side
    4,183.92x = 9,069,369.84
  5. Step 5: Solve for x
    x = 9,069,369.84/4,183.92
  6. Step 6: Final answer
    x = 2,167.67

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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.