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Finding the Fourth Proportional to 3,800.42, 5,244.60 and 2,228.18

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Solution

The fourth proportional to 3,800.42, 5,244.60 and 2,228.18 is: 3,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.42 : 5,244.60 = 2,228.18 : x
  2. Step 2: Convert to fraction form
    3,800.42/5,244.60 = 2,228.18/x
  3. Step 3: Cross multiply
    3,800.42x = 5,244.60 × 2,228.18
  4. Step 4: Simplify right side
    3,800.42x = 11,685,912.83
  5. Step 5: Solve for x
    x = 11,685,912.83/3,800.42
  6. Step 6: Final answer
    x = 3,074.90

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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.