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Finding the Fourth Proportional to 3,845.49, 5,768.71 and 1,505.19

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Solution

The fourth proportional to 3,845.49, 5,768.71 and 1,505.19 is: 2,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.49 : 5,768.71 = 1,505.19 : x
  2. Step 2: Convert to fraction form
    3,845.49/5,768.71 = 1,505.19/x
  3. Step 3: Cross multiply
    3,845.49x = 5,768.71 × 1,505.19
  4. Step 4: Simplify right side
    3,845.49x = 8,682,979.21
  5. Step 5: Solve for x
    x = 8,682,979.21/3,845.49
  6. Step 6: Final answer
    x = 2,257.97

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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.