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Finding the Fourth Proportional to 5,090.96, 7,629.60 and 2,168.48

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Solution

The fourth proportional to 5,090.96, 7,629.60 and 2,168.48 is: 3,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.96 : 7,629.60 = 2,168.48 : x
  2. Step 2: Convert to fraction form
    5,090.96/7,629.60 = 2,168.48/x
  3. Step 3: Cross multiply
    5,090.96x = 7,629.60 × 2,168.48
  4. Step 4: Simplify right side
    5,090.96x = 16,544,635.01
  5. Step 5: Solve for x
    x = 16,544,635.01/5,090.96
  6. Step 6: Final answer
    x = 3,249.81

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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.