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Finding the Fourth Proportional to 4,134.87, 6,194.48 and 3,205.88

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Solution

The fourth proportional to 4,134.87, 6,194.48 and 3,205.88 is: 4,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.87 : 6,194.48 = 3,205.88 : x
  2. Step 2: Convert to fraction form
    4,134.87/6,194.48 = 3,205.88/x
  3. Step 3: Cross multiply
    4,134.87x = 6,194.48 × 3,205.88
  4. Step 4: Simplify right side
    4,134.87x = 19,858,712.54
  5. Step 5: Solve for x
    x = 19,858,712.54/4,134.87
  6. Step 6: Final answer
    x = 4,802.74

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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.