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Finding the Fourth Proportional to 3,469.87, 5,201.56 and 2,083.56

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Solution

The fourth proportional to 3,469.87, 5,201.56 and 2,083.56 is: 3,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.87 : 5,201.56 = 2,083.56 : x
  2. Step 2: Convert to fraction form
    3,469.87/5,201.56 = 2,083.56/x
  3. Step 3: Cross multiply
    3,469.87x = 5,201.56 × 2,083.56
  4. Step 4: Simplify right side
    3,469.87x = 10,837,762.35
  5. Step 5: Solve for x
    x = 10,837,762.35/3,469.87
  6. Step 6: Final answer
    x = 3,123.39

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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.