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Finding the Fourth Proportional to 5,794.40, 8,679.45 and 3,194.30

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Solution

The fourth proportional to 5,794.40, 8,679.45 and 3,194.30 is: 4,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.40 : 8,679.45 = 3,194.30 : x
  2. Step 2: Convert to fraction form
    5,794.40/8,679.45 = 3,194.30/x
  3. Step 3: Cross multiply
    5,794.40x = 8,679.45 × 3,194.30
  4. Step 4: Simplify right side
    5,794.40x = 27,724,767.14
  5. Step 5: Solve for x
    x = 27,724,767.14/5,794.40
  6. Step 6: Final answer
    x = 4,784.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.