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Finding the Fourth Proportional to 5,690.20, 8,227.75 and 5,690.20

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Solution

The fourth proportional to 5,690.20, 8,227.75 and 5,690.20 is: 8,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.20 : 8,227.75 = 5,690.20 : x
  2. Step 2: Convert to fraction form
    5,690.20/8,227.75 = 5,690.20/x
  3. Step 3: Cross multiply
    5,690.20x = 8,227.75 × 5,690.20
  4. Step 4: Simplify right side
    5,690.20x = 46,817,543.05
  5. Step 5: Solve for x
    x = 46,817,543.05/5,690.20
  6. Step 6: Final answer
    x = 8,227.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.