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Finding the Fourth Proportional to 3,850.20, 5,348.97 and 3,814.20

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Solution

The fourth proportional to 3,850.20, 5,348.97 and 3,814.20 is: 5,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.20 : 5,348.97 = 3,814.20 : x
  2. Step 2: Convert to fraction form
    3,850.20/5,348.97 = 3,814.20/x
  3. Step 3: Cross multiply
    3,850.20x = 5,348.97 × 3,814.20
  4. Step 4: Simplify right side
    3,850.20x = 20,402,041.37
  5. Step 5: Solve for x
    x = 20,402,041.37/3,850.20
  6. Step 6: Final answer
    x = 5,298.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.