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Finding the Fourth Proportional to 3,874.75, 5,351.57 and 2,554.33

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Solution

The fourth proportional to 3,874.75, 5,351.57 and 2,554.33 is: 3,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.75 : 5,351.57 = 2,554.33 : x
  2. Step 2: Convert to fraction form
    3,874.75/5,351.57 = 2,554.33/x
  3. Step 3: Cross multiply
    3,874.75x = 5,351.57 × 2,554.33
  4. Step 4: Simplify right side
    3,874.75x = 13,669,675.80
  5. Step 5: Solve for x
    x = 13,669,675.80/3,874.75
  6. Step 6: Final answer
    x = 3,527.89

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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.