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Finding the Fourth Proportional to 3,821.80, 5,690.26 and 3,800.20

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Solution

The fourth proportional to 3,821.80, 5,690.26 and 3,800.20 is: 5,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.80 : 5,690.26 = 3,800.20 : x
  2. Step 2: Convert to fraction form
    3,821.80/5,690.26 = 3,800.20/x
  3. Step 3: Cross multiply
    3,821.80x = 5,690.26 × 3,800.20
  4. Step 4: Simplify right side
    3,821.80x = 21,624,126.05
  5. Step 5: Solve for x
    x = 21,624,126.05/3,821.80
  6. Step 6: Final answer
    x = 5,658.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.