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Finding the Fourth Proportional to 3,819.56, 5,272.26 and 2,328.44

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Solution

The fourth proportional to 3,819.56, 5,272.26 and 2,328.44 is: 3,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.56 : 5,272.26 = 2,328.44 : x
  2. Step 2: Convert to fraction form
    3,819.56/5,272.26 = 2,328.44/x
  3. Step 3: Cross multiply
    3,819.56x = 5,272.26 × 2,328.44
  4. Step 4: Simplify right side
    3,819.56x = 12,276,141.07
  5. Step 5: Solve for x
    x = 12,276,141.07/3,819.56
  6. Step 6: Final answer
    x = 3,214.02

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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.