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Finding the Fourth Proportional to 5,584.81, 8,375.36 and 2,252.20

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Solution

The fourth proportional to 5,584.81, 8,375.36 and 2,252.20 is: 3,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.81 : 8,375.36 = 2,252.20 : x
  2. Step 2: Convert to fraction form
    5,584.81/8,375.36 = 2,252.20/x
  3. Step 3: Cross multiply
    5,584.81x = 8,375.36 × 2,252.20
  4. Step 4: Simplify right side
    5,584.81x = 18,862,945.74
  5. Step 5: Solve for x
    x = 18,862,945.74/5,584.81
  6. Step 6: Final answer
    x = 3,377.55

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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.