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Finding the Fourth Proportional to 5,469.66, 8,202.75 and 1,771.02

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Solution

The fourth proportional to 5,469.66, 8,202.75 and 1,771.02 is: 2,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.66 : 8,202.75 = 1,771.02 : x
  2. Step 2: Convert to fraction form
    5,469.66/8,202.75 = 1,771.02/x
  3. Step 3: Cross multiply
    5,469.66x = 8,202.75 × 1,771.02
  4. Step 4: Simplify right side
    5,469.66x = 14,527,234.31
  5. Step 5: Solve for x
    x = 14,527,234.31/5,469.66
  6. Step 6: Final answer
    x = 2,655.97

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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.