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Finding the Fourth Proportional to 4,198.62, 5,794.62 and 2,405.75

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Solution

The fourth proportional to 4,198.62, 5,794.62 and 2,405.75 is: 3,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.62 : 5,794.62 = 2,405.75 : x
  2. Step 2: Convert to fraction form
    4,198.62/5,794.62 = 2,405.75/x
  3. Step 3: Cross multiply
    4,198.62x = 5,794.62 × 2,405.75
  4. Step 4: Simplify right side
    4,198.62x = 13,940,407.07
  5. Step 5: Solve for x
    x = 13,940,407.07/4,198.62
  6. Step 6: Final answer
    x = 3,320.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.