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Finding the Fourth Proportional to 5,492.80, 8,227.05 and 4,520.80

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Solution

The fourth proportional to 5,492.80, 8,227.05 and 4,520.80 is: 6,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.80 : 8,227.05 = 4,520.80 : x
  2. Step 2: Convert to fraction form
    5,492.80/8,227.05 = 4,520.80/x
  3. Step 3: Cross multiply
    5,492.80x = 8,227.05 × 4,520.80
  4. Step 4: Simplify right side
    5,492.80x = 37,192,847.64
  5. Step 5: Solve for x
    x = 37,192,847.64/5,492.80
  6. Step 6: Final answer
    x = 6,771.20

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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.