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Finding the Fourth Proportional to 4,229.82, 6,347.01 and 1,766.33

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Solution

The fourth proportional to 4,229.82, 6,347.01 and 1,766.33 is: 2,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.82 : 6,347.01 = 1,766.33 : x
  2. Step 2: Convert to fraction form
    4,229.82/6,347.01 = 1,766.33/x
  3. Step 3: Cross multiply
    4,229.82x = 6,347.01 × 1,766.33
  4. Step 4: Simplify right side
    4,229.82x = 11,210,920.78
  5. Step 5: Solve for x
    x = 11,210,920.78/4,229.82
  6. Step 6: Final answer
    x = 2,650.45

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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.