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Finding the Fourth Proportional to 3,786.48, 5,680.66 and 1,321.32

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Solution

The fourth proportional to 3,786.48, 5,680.66 and 1,321.32 is: 1,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.48 : 5,680.66 = 1,321.32 : x
  2. Step 2: Convert to fraction form
    3,786.48/5,680.66 = 1,321.32/x
  3. Step 3: Cross multiply
    3,786.48x = 5,680.66 × 1,321.32
  4. Step 4: Simplify right side
    3,786.48x = 7,505,969.67
  5. Step 5: Solve for x
    x = 7,505,969.67/3,786.48
  6. Step 6: Final answer
    x = 1,982.31

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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.