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Finding the Fourth Proportional to 5,229.47, 7,845.37 and 1,766.63

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Solution

The fourth proportional to 5,229.47, 7,845.37 and 1,766.63 is: 2,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.47 : 7,845.37 = 1,766.63 : x
  2. Step 2: Convert to fraction form
    5,229.47/7,845.37 = 1,766.63/x
  3. Step 3: Cross multiply
    5,229.47x = 7,845.37 × 1,766.63
  4. Step 4: Simplify right side
    5,229.47x = 13,859,826.78
  5. Step 5: Solve for x
    x = 13,859,826.78/5,229.47
  6. Step 6: Final answer
    x = 2,650.33

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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.