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Finding the Fourth Proportional to 3,850.40, 5,770.20 and 2,694.80

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Solution

The fourth proportional to 3,850.40, 5,770.20 and 2,694.80 is: 4,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.40 : 5,770.20 = 2,694.80 : x
  2. Step 2: Convert to fraction form
    3,850.40/5,770.20 = 2,694.80/x
  3. Step 3: Cross multiply
    3,850.40x = 5,770.20 × 2,694.80
  4. Step 4: Simplify right side
    3,850.40x = 15,549,534.96
  5. Step 5: Solve for x
    x = 15,549,534.96/3,850.40
  6. Step 6: Final answer
    x = 4,038.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.