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Finding the Fourth Proportional to 4,741.44, 7,109.64 and 2,274

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Solution

The fourth proportional to 4,741.44, 7,109.64 and 2,274 is: 3,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.44 : 7,109.64 = 2,274 : x
  2. Step 2: Convert to fraction form
    4,741.44/7,109.64 = 2,274/x
  3. Step 3: Cross multiply
    4,741.44x = 7,109.64 × 2,274
  4. Step 4: Simplify right side
    4,741.44x = 16,167,321.36
  5. Step 5: Solve for x
    x = 16,167,321.36/4,741.44
  6. Step 6: Final answer
    x = 3,409.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.