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Finding the Fourth Proportional to 4,236.68, 6,351.86 and 1,767.99

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Solution

The fourth proportional to 4,236.68, 6,351.86 and 1,767.99 is: 2,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.68 : 6,351.86 = 1,767.99 : x
  2. Step 2: Convert to fraction form
    4,236.68/6,351.86 = 1,767.99/x
  3. Step 3: Cross multiply
    4,236.68x = 6,351.86 × 1,767.99
  4. Step 4: Simplify right side
    4,236.68x = 11,230,016.12
  5. Step 5: Solve for x
    x = 11,230,016.12/4,236.68
  6. Step 6: Final answer
    x = 2,650.67

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Why These Related Problems?

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