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Finding the Fourth Proportional to 5,469.70, 8,201.73 and 1,771.45

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Solution

The fourth proportional to 5,469.70, 8,201.73 and 1,771.45 is: 2,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.70 : 8,201.73 = 1,771.45 : x
  2. Step 2: Convert to fraction form
    5,469.70/8,201.73 = 1,771.45/x
  3. Step 3: Cross multiply
    5,469.70x = 8,201.73 × 1,771.45
  4. Step 4: Simplify right side
    5,469.70x = 14,528,954.61
  5. Step 5: Solve for x
    x = 14,528,954.61/5,469.70
  6. Step 6: Final answer
    x = 2,656.26

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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.