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Finding the Fourth Proportional to 5,620.44, 7,759.86 and 5,029.96

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Solution

The fourth proportional to 5,620.44, 7,759.86 and 5,029.96 is: 6,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.44 : 7,759.86 = 5,029.96 : x
  2. Step 2: Convert to fraction form
    5,620.44/7,759.86 = 5,029.96/x
  3. Step 3: Cross multiply
    5,620.44x = 7,759.86 × 5,029.96
  4. Step 4: Simplify right side
    5,620.44x = 39,031,785.41
  5. Step 5: Solve for x
    x = 39,031,785.41/5,620.44
  6. Step 6: Final answer
    x = 6,944.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.