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Finding the Fourth Proportional to 4,198.82, 6,300.39 and 3,054.02

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Solution

The fourth proportional to 4,198.82, 6,300.39 and 3,054.02 is: 4,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.82 : 6,300.39 = 3,054.02 : x
  2. Step 2: Convert to fraction form
    4,198.82/6,300.39 = 3,054.02/x
  3. Step 3: Cross multiply
    4,198.82x = 6,300.39 × 3,054.02
  4. Step 4: Simplify right side
    4,198.82x = 19,241,517.07
  5. Step 5: Solve for x
    x = 19,241,517.07/4,198.82
  6. Step 6: Final answer
    x = 4,582.60

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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.