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Finding the Fourth Proportional to 4,069.68, 6,097.83 and 3,917.97

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Solution

The fourth proportional to 4,069.68, 6,097.83 and 3,917.97 is: 5,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.68 : 6,097.83 = 3,917.97 : x
  2. Step 2: Convert to fraction form
    4,069.68/6,097.83 = 3,917.97/x
  3. Step 3: Cross multiply
    4,069.68x = 6,097.83 × 3,917.97
  4. Step 4: Simplify right side
    4,069.68x = 23,891,115.01
  5. Step 5: Solve for x
    x = 23,891,115.01/4,069.68
  6. Step 6: Final answer
    x = 5,870.51

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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.