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Finding the Fourth Proportional to 5,174.73, 7,142.73 and 2,938.09

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Solution

The fourth proportional to 5,174.73, 7,142.73 and 2,938.09 is: 4,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.73 : 7,142.73 = 2,938.09 : x
  2. Step 2: Convert to fraction form
    5,174.73/7,142.73 = 2,938.09/x
  3. Step 3: Cross multiply
    5,174.73x = 7,142.73 × 2,938.09
  4. Step 4: Simplify right side
    5,174.73x = 20,985,983.59
  5. Step 5: Solve for x
    x = 20,985,983.59/5,174.73
  6. Step 6: Final answer
    x = 4,055.47

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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.