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Finding the Fourth Proportional to 4,200.68, 6,302.34 and 1,736.66

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Solution

The fourth proportional to 4,200.68, 6,302.34 and 1,736.66 is: 2,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.68 : 6,302.34 = 1,736.66 : x
  2. Step 2: Convert to fraction form
    4,200.68/6,302.34 = 1,736.66/x
  3. Step 3: Cross multiply
    4,200.68x = 6,302.34 × 1,736.66
  4. Step 4: Simplify right side
    4,200.68x = 10,945,037.54
  5. Step 5: Solve for x
    x = 10,945,037.54/4,200.68
  6. Step 6: Final answer
    x = 2,605.54

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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.