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Finding the Fourth Proportional to 3,731.05, 5,142.72 and 3,100.33

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Solution

The fourth proportional to 3,731.05, 5,142.72 and 3,100.33 is: 4,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.05 : 5,142.72 = 3,100.33 : x
  2. Step 2: Convert to fraction form
    3,731.05/5,142.72 = 3,100.33/x
  3. Step 3: Cross multiply
    3,731.05x = 5,142.72 × 3,100.33
  4. Step 4: Simplify right side
    3,731.05x = 15,944,129.10
  5. Step 5: Solve for x
    x = 15,944,129.10/3,731.05
  6. Step 6: Final answer
    x = 4,273.36

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