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Finding the Fourth Proportional to 4,202.75, 6,304.14 and 1,736.22

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Solution

The fourth proportional to 4,202.75, 6,304.14 and 1,736.22 is: 2,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.75 : 6,304.14 = 1,736.22 : x
  2. Step 2: Convert to fraction form
    4,202.75/6,304.14 = 1,736.22/x
  3. Step 3: Cross multiply
    4,202.75x = 6,304.14 × 1,736.22
  4. Step 4: Simplify right side
    4,202.75x = 10,945,373.95
  5. Step 5: Solve for x
    x = 10,945,373.95/4,202.75
  6. Step 6: Final answer
    x = 2,604.34

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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.