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Finding the Fourth Proportional to 3,450.87, 5,174.31 and 2,356.56

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Solution

The fourth proportional to 3,450.87, 5,174.31 and 2,356.56 is: 3,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.87 : 5,174.31 = 2,356.56 : x
  2. Step 2: Convert to fraction form
    3,450.87/5,174.31 = 2,356.56/x
  3. Step 3: Cross multiply
    3,450.87x = 5,174.31 × 2,356.56
  4. Step 4: Simplify right side
    3,450.87x = 12,193,571.97
  5. Step 5: Solve for x
    x = 12,193,571.97/3,450.87
  6. Step 6: Final answer
    x = 3,533.48

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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.