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Finding the Fourth Proportional to 3,803.23, 5,705.20 and 1,494.19

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Solution

The fourth proportional to 3,803.23, 5,705.20 and 1,494.19 is: 2,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.23 : 5,705.20 = 1,494.19 : x
  2. Step 2: Convert to fraction form
    3,803.23/5,705.20 = 1,494.19/x
  3. Step 3: Cross multiply
    3,803.23x = 5,705.20 × 1,494.19
  4. Step 4: Simplify right side
    3,803.23x = 8,524,640.39
  5. Step 5: Solve for x
    x = 8,524,640.39/3,803.23
  6. Step 6: Final answer
    x = 2,241.42

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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.