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Finding the Fourth Proportional to 5,321.44, 7,967.04 and 3,584.80

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Solution

The fourth proportional to 5,321.44, 7,967.04 and 3,584.80 is: 5,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.44 : 7,967.04 = 3,584.80 : x
  2. Step 2: Convert to fraction form
    5,321.44/7,967.04 = 3,584.80/x
  3. Step 3: Cross multiply
    5,321.44x = 7,967.04 × 3,584.80
  4. Step 4: Simplify right side
    5,321.44x = 28,560,244.99
  5. Step 5: Solve for x
    x = 28,560,244.99/5,321.44
  6. Step 6: Final answer
    x = 5,367.01

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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.