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Finding the Fourth Proportional to 5,974.20, 8,961.30 and 4,564.80

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Solution

The fourth proportional to 5,974.20, 8,961.30 and 4,564.80 is: 6,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.20 : 8,961.30 = 4,564.80 : x
  2. Step 2: Convert to fraction form
    5,974.20/8,961.30 = 4,564.80/x
  3. Step 3: Cross multiply
    5,974.20x = 8,961.30 × 4,564.80
  4. Step 4: Simplify right side
    5,974.20x = 40,906,542.24
  5. Step 5: Solve for x
    x = 40,906,542.24/5,974.20
  6. Step 6: Final answer
    x = 6,847.20

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