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Finding the Fourth Proportional to 5,470.96, 8,207.24 and 1,771.96

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Solution

The fourth proportional to 5,470.96, 8,207.24 and 1,771.96 is: 2,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.96 : 8,207.24 = 1,771.96 : x
  2. Step 2: Convert to fraction form
    5,470.96/8,207.24 = 1,771.96/x
  3. Step 3: Cross multiply
    5,470.96x = 8,207.24 × 1,771.96
  4. Step 4: Simplify right side
    5,470.96x = 14,542,900.99
  5. Step 5: Solve for x
    x = 14,542,900.99/5,470.96
  6. Step 6: Final answer
    x = 2,658.20

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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.