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Finding the Fourth Proportional to 3,512.49, 5,268.73 and 1,047.25

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Solution

The fourth proportional to 3,512.49, 5,268.73 and 1,047.25 is: 1,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.49 : 5,268.73 = 1,047.25 : x
  2. Step 2: Convert to fraction form
    3,512.49/5,268.73 = 1,047.25/x
  3. Step 3: Cross multiply
    3,512.49x = 5,268.73 × 1,047.25
  4. Step 4: Simplify right side
    3,512.49x = 5,517,661.70
  5. Step 5: Solve for x
    x = 5,517,661.70/3,512.49
  6. Step 6: Final answer
    x = 1,570.87

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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.