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Finding the Fourth Proportional to 3,982.25, 5,975.60 and 3,736.01

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Solution

The fourth proportional to 3,982.25, 5,975.60 and 3,736.01 is: 5,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.25 : 5,975.60 = 3,736.01 : x
  2. Step 2: Convert to fraction form
    3,982.25/5,975.60 = 3,736.01/x
  3. Step 3: Cross multiply
    3,982.25x = 5,975.60 × 3,736.01
  4. Step 4: Simplify right side
    3,982.25x = 22,324,852.80
  5. Step 5: Solve for x
    x = 22,324,852.80/3,982.25
  6. Step 6: Final answer
    x = 5,606.10

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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.