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Finding the Fourth Proportional to 5,174.49, 7,140.78 and 2,936.80

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Solution

The fourth proportional to 5,174.49, 7,140.78 and 2,936.80 is: 4,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.49 : 7,140.78 = 2,936.80 : x
  2. Step 2: Convert to fraction form
    5,174.49/7,140.78 = 2,936.80/x
  3. Step 3: Cross multiply
    5,174.49x = 7,140.78 × 2,936.80
  4. Step 4: Simplify right side
    5,174.49x = 20,971,042.70
  5. Step 5: Solve for x
    x = 20,971,042.70/5,174.49
  6. Step 6: Final answer
    x = 4,052.77

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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.