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Finding the Fourth Proportional to 5,608.47, 7,739.69 and 3,251.98

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Solution

The fourth proportional to 5,608.47, 7,739.69 and 3,251.98 is: 4,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.47 : 7,739.69 = 3,251.98 : x
  2. Step 2: Convert to fraction form
    5,608.47/7,739.69 = 3,251.98/x
  3. Step 3: Cross multiply
    5,608.47x = 7,739.69 × 3,251.98
  4. Step 4: Simplify right side
    5,608.47x = 25,169,317.09
  5. Step 5: Solve for x
    x = 25,169,317.09/5,608.47
  6. Step 6: Final answer
    x = 4,487.73

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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.