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Finding the Fourth Proportional to 5,786.25, 7,984.62 and 3,268.46

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Solution

The fourth proportional to 5,786.25, 7,984.62 and 3,268.46 is: 4,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.25 : 7,984.62 = 3,268.46 : x
  2. Step 2: Convert to fraction form
    5,786.25/7,984.62 = 3,268.46/x
  3. Step 3: Cross multiply
    5,786.25x = 7,984.62 × 3,268.46
  4. Step 4: Simplify right side
    5,786.25x = 26,097,431.05
  5. Step 5: Solve for x
    x = 26,097,431.05/5,786.25
  6. Step 6: Final answer
    x = 4,510.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.