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Finding the Fourth Proportional to 3,274.62, 4,517.85 and 1,858.17

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Solution

The fourth proportional to 3,274.62, 4,517.85 and 1,858.17 is: 2,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.62 : 4,517.85 = 1,858.17 : x
  2. Step 2: Convert to fraction form
    3,274.62/4,517.85 = 1,858.17/x
  3. Step 3: Cross multiply
    3,274.62x = 4,517.85 × 1,858.17
  4. Step 4: Simplify right side
    3,274.62x = 8,394,933.33
  5. Step 5: Solve for x
    x = 8,394,933.33/3,274.62
  6. Step 6: Final answer
    x = 2,563.64

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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.