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Finding the Fourth Proportional to 3,776.60, 5,211.94 and 2,120.60

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Solution

The fourth proportional to 3,776.60, 5,211.94 and 2,120.60 is: 2,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.60 : 5,211.94 = 2,120.60 : x
  2. Step 2: Convert to fraction form
    3,776.60/5,211.94 = 2,120.60/x
  3. Step 3: Cross multiply
    3,776.60x = 5,211.94 × 2,120.60
  4. Step 4: Simplify right side
    3,776.60x = 11,052,439.96
  5. Step 5: Solve for x
    x = 11,052,439.96/3,776.60
  6. Step 6: Final answer
    x = 2,926.56

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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.