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Finding the Fourth Proportional to 5,469.56, 8,203.42 and 1,771.26

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Solution

The fourth proportional to 5,469.56, 8,203.42 and 1,771.26 is: 2,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.56 : 8,203.42 = 1,771.26 : x
  2. Step 2: Convert to fraction form
    5,469.56/8,203.42 = 1,771.26/x
  3. Step 3: Cross multiply
    5,469.56x = 8,203.42 × 1,771.26
  4. Step 4: Simplify right side
    5,469.56x = 14,530,389.71
  5. Step 5: Solve for x
    x = 14,530,389.71/5,469.56
  6. Step 6: Final answer
    x = 2,656.59

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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.