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Finding the Fourth Proportional to 4,233.44, 5,844.14 and 2,819.48

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Solution

The fourth proportional to 4,233.44, 5,844.14 and 2,819.48 is: 3,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.44 : 5,844.14 = 2,819.48 : x
  2. Step 2: Convert to fraction form
    4,233.44/5,844.14 = 2,819.48/x
  3. Step 3: Cross multiply
    4,233.44x = 5,844.14 × 2,819.48
  4. Step 4: Simplify right side
    4,233.44x = 16,477,392.53
  5. Step 5: Solve for x
    x = 16,477,392.53/4,233.44
  6. Step 6: Final answer
    x = 3,892.20

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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.