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Finding the Fourth Proportional to 2,849.54, 3,907.26 and 2,568.64

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Solution

The fourth proportional to 2,849.54, 3,907.26 and 2,568.64 is: 3,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.54 : 3,907.26 = 2,568.64 : x
  2. Step 2: Convert to fraction form
    2,849.54/3,907.26 = 2,568.64/x
  3. Step 3: Cross multiply
    2,849.54x = 3,907.26 × 2,568.64
  4. Step 4: Simplify right side
    2,849.54x = 10,036,344.33
  5. Step 5: Solve for x
    x = 10,036,344.33/2,849.54
  6. Step 6: Final answer
    x = 3,522.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.