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Finding the Fourth Proportional to 3,224.09, 4,836.25 and 1,003.15

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Solution

The fourth proportional to 3,224.09, 4,836.25 and 1,003.15 is: 1,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.09 : 4,836.25 = 1,003.15 : x
  2. Step 2: Convert to fraction form
    3,224.09/4,836.25 = 1,003.15/x
  3. Step 3: Cross multiply
    3,224.09x = 4,836.25 × 1,003.15
  4. Step 4: Simplify right side
    3,224.09x = 4,851,469.59
  5. Step 5: Solve for x
    x = 4,851,469.59/3,224.09
  6. Step 6: Final answer
    x = 1,504.76

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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.