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Finding the Fourth Proportional to 4,259.25, 5,878.54 and 4,072.44

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Solution

The fourth proportional to 4,259.25, 5,878.54 and 4,072.44 is: 5,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.25 : 5,878.54 = 4,072.44 : x
  2. Step 2: Convert to fraction form
    4,259.25/5,878.54 = 4,072.44/x
  3. Step 3: Cross multiply
    4,259.25x = 5,878.54 × 4,072.44
  4. Step 4: Simplify right side
    4,259.25x = 23,940,028.57
  5. Step 5: Solve for x
    x = 23,940,028.57/4,259.25
  6. Step 6: Final answer
    x = 5,620.71

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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.