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Finding the Fourth Proportional to 5,794.91, 7,996.44 and 3,277.24

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Solution

The fourth proportional to 5,794.91, 7,996.44 and 3,277.24 is: 4,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.91 : 7,996.44 = 3,277.24 : x
  2. Step 2: Convert to fraction form
    5,794.91/7,996.44 = 3,277.24/x
  3. Step 3: Cross multiply
    5,794.91x = 7,996.44 × 3,277.24
  4. Step 4: Simplify right side
    5,794.91x = 26,206,245.32
  5. Step 5: Solve for x
    x = 26,206,245.32/5,794.91
  6. Step 6: Final answer
    x = 4,522.29

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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.