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Finding the Fourth Proportional to 5,794.88, 7,996.86 and 3,142.28

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Solution

The fourth proportional to 5,794.88, 7,996.86 and 3,142.28 is: 4,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.88 : 7,996.86 = 3,142.28 : x
  2. Step 2: Convert to fraction form
    5,794.88/7,996.86 = 3,142.28/x
  3. Step 3: Cross multiply
    5,794.88x = 7,996.86 × 3,142.28
  4. Step 4: Simplify right side
    5,794.88x = 25,128,373.24
  5. Step 5: Solve for x
    x = 25,128,373.24/5,794.88
  6. Step 6: Final answer
    x = 4,336.31

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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.