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Finding the Fourth Proportional to 5,174.76, 7,142.16 and 2,936.85

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Solution

The fourth proportional to 5,174.76, 7,142.16 and 2,936.85 is: 4,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.76 : 7,142.16 = 2,936.85 : x
  2. Step 2: Convert to fraction form
    5,174.76/7,142.16 = 2,936.85/x
  3. Step 3: Cross multiply
    5,174.76x = 7,142.16 × 2,936.85
  4. Step 4: Simplify right side
    5,174.76x = 20,975,440.39
  5. Step 5: Solve for x
    x = 20,975,440.39/5,174.76
  6. Step 6: Final answer
    x = 4,053.41

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1.5x scale

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.