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Finding the Fourth Proportional to 3,512.14, 5,268.15 and 1,046.97

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Solution

The fourth proportional to 3,512.14, 5,268.15 and 1,046.97 is: 1,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.14 : 5,268.15 = 1,046.97 : x
  2. Step 2: Convert to fraction form
    3,512.14/5,268.15 = 1,046.97/x
  3. Step 3: Cross multiply
    3,512.14x = 5,268.15 × 1,046.97
  4. Step 4: Simplify right side
    3,512.14x = 5,515,595.01
  5. Step 5: Solve for x
    x = 5,515,595.01/3,512.14
  6. Step 6: Final answer
    x = 1,570.44

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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.