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Finding the Fourth Proportional to 3,778.70, 5,214.53 and 2,185.57

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Solution

The fourth proportional to 3,778.70, 5,214.53 and 2,185.57 is: 3,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.70 : 5,214.53 = 2,185.57 : x
  2. Step 2: Convert to fraction form
    3,778.70/5,214.53 = 2,185.57/x
  3. Step 3: Cross multiply
    3,778.70x = 5,214.53 × 2,185.57
  4. Step 4: Simplify right side
    3,778.70x = 11,396,683.33
  5. Step 5: Solve for x
    x = 11,396,683.33/3,778.70
  6. Step 6: Final answer
    x = 3,016.03

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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.