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Finding the Fourth Proportional to 5,965.40, 8,941.70 and 2,266.20

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Solution

The fourth proportional to 5,965.40, 8,941.70 and 2,266.20 is: 3,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.40 : 8,941.70 = 2,266.20 : x
  2. Step 2: Convert to fraction form
    5,965.40/8,941.70 = 2,266.20/x
  3. Step 3: Cross multiply
    5,965.40x = 8,941.70 × 2,266.20
  4. Step 4: Simplify right side
    5,965.40x = 20,263,680.54
  5. Step 5: Solve for x
    x = 20,263,680.54/5,965.40
  6. Step 6: Final answer
    x = 3,396.87

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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.