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Finding the Fourth Proportional to 5,794.98, 7,997.07 and 3,142.47

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Solution

The fourth proportional to 5,794.98, 7,997.07 and 3,142.47 is: 4,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.98 : 7,997.07 = 3,142.47 : x
  2. Step 2: Convert to fraction form
    5,794.98/7,997.07 = 3,142.47/x
  3. Step 3: Cross multiply
    5,794.98x = 7,997.07 × 3,142.47
  4. Step 4: Simplify right side
    5,794.98x = 25,130,552.56
  5. Step 5: Solve for x
    x = 25,130,552.56/5,794.98
  6. Step 6: Final answer
    x = 4,336.61

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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.