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Finding the Fourth Proportional to 3,554.75, 4,905.75 and 1,982.84

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Solution

The fourth proportional to 3,554.75, 4,905.75 and 1,982.84 is: 2,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.75 : 4,905.75 = 1,982.84 : x
  2. Step 2: Convert to fraction form
    3,554.75/4,905.75 = 1,982.84/x
  3. Step 3: Cross multiply
    3,554.75x = 4,905.75 × 1,982.84
  4. Step 4: Simplify right side
    3,554.75x = 9,727,317.33
  5. Step 5: Solve for x
    x = 9,727,317.33/3,554.75
  6. Step 6: Final answer
    x = 2,736.43

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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.