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Finding the Fourth Proportional to 4,200.75, 6,302.17 and 1,736.28

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Solution

The fourth proportional to 4,200.75, 6,302.17 and 1,736.28 is: 2,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.75 : 6,302.17 = 1,736.28 : x
  2. Step 2: Convert to fraction form
    4,200.75/6,302.17 = 1,736.28/x
  3. Step 3: Cross multiply
    4,200.75x = 6,302.17 × 1,736.28
  4. Step 4: Simplify right side
    4,200.75x = 10,942,327.39
  5. Step 5: Solve for x
    x = 10,942,327.39/4,200.75
  6. Step 6: Final answer
    x = 2,604.85

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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.