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Finding the Fourth Proportional to 3,828.69, 5,284.04 and 2,256.75

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Solution

The fourth proportional to 3,828.69, 5,284.04 and 2,256.75 is: 3,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.69 : 5,284.04 = 2,256.75 : x
  2. Step 2: Convert to fraction form
    3,828.69/5,284.04 = 2,256.75/x
  3. Step 3: Cross multiply
    3,828.69x = 5,284.04 × 2,256.75
  4. Step 4: Simplify right side
    3,828.69x = 11,924,745.99
  5. Step 5: Solve for x
    x = 11,924,745.99/3,828.69
  6. Step 6: Final answer
    x = 3,114.58

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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.