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Finding the Fourth Proportional to 4,149.75, 6,224.63 and 2,300.34

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Solution

The fourth proportional to 4,149.75, 6,224.63 and 2,300.34 is: 3,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.75 : 6,224.63 = 2,300.34 : x
  2. Step 2: Convert to fraction form
    4,149.75/6,224.63 = 2,300.34/x
  3. Step 3: Cross multiply
    4,149.75x = 6,224.63 × 2,300.34
  4. Step 4: Simplify right side
    4,149.75x = 14,318,765.37
  5. Step 5: Solve for x
    x = 14,318,765.37/4,149.75
  6. Step 6: Final answer
    x = 3,450.51

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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.