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Finding the Fourth Proportional to 4,233.56, 6,348.17 and 1,767.71

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Solution

The fourth proportional to 4,233.56, 6,348.17 and 1,767.71 is: 2,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.56 : 6,348.17 = 1,767.71 : x
  2. Step 2: Convert to fraction form
    4,233.56/6,348.17 = 1,767.71/x
  3. Step 3: Cross multiply
    4,233.56x = 6,348.17 × 1,767.71
  4. Step 4: Simplify right side
    4,233.56x = 11,221,743.88
  5. Step 5: Solve for x
    x = 11,221,743.88/4,233.56
  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.