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Finding the Fourth Proportional to 4,268.78, 5,893.23 and 2,949.57

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Solution

The fourth proportional to 4,268.78, 5,893.23 and 2,949.57 is: 4,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.78 : 5,893.23 = 2,949.57 : x
  2. Step 2: Convert to fraction form
    4,268.78/5,893.23 = 2,949.57/x
  3. Step 3: Cross multiply
    4,268.78x = 5,893.23 × 2,949.57
  4. Step 4: Simplify right side
    4,268.78x = 17,382,494.41
  5. Step 5: Solve for x
    x = 17,382,494.41/4,268.78
  6. Step 6: Final answer
    x = 4,072.01

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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.