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Finding the Fourth Proportional to 4,765.91, 7,149.50 and 1,763.54

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Solution

The fourth proportional to 4,765.91, 7,149.50 and 1,763.54 is: 2,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.91 : 7,149.50 = 1,763.54 : x
  2. Step 2: Convert to fraction form
    4,765.91/7,149.50 = 1,763.54/x
  3. Step 3: Cross multiply
    4,765.91x = 7,149.50 × 1,763.54
  4. Step 4: Simplify right side
    4,765.91x = 12,608,429.45
  5. Step 5: Solve for x
    x = 12,608,429.45/4,765.91
  6. Step 6: Final answer
    x = 2,645.54

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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.