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Finding the Fourth Proportional to 5,724.80, 8,021.20 and 5,724.80

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Solution

The fourth proportional to 5,724.80, 8,021.20 and 5,724.80 is: 8,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.80 : 8,021.20 = 5,724.80 : x
  2. Step 2: Convert to fraction form
    5,724.80/8,021.20 = 5,724.80/x
  3. Step 3: Cross multiply
    5,724.80x = 8,021.20 × 5,724.80
  4. Step 4: Simplify right side
    5,724.80x = 45,919,765.76
  5. Step 5: Solve for x
    x = 45,919,765.76/5,724.80
  6. Step 6: Final answer
    x = 8,021.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.