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Finding the Fourth Proportional to 4,493.44, 6,741.20 and 1,896.48

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Solution

The fourth proportional to 4,493.44, 6,741.20 and 1,896.48 is: 2,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.44 : 6,741.20 = 1,896.48 : x
  2. Step 2: Convert to fraction form
    4,493.44/6,741.20 = 1,896.48/x
  3. Step 3: Cross multiply
    4,493.44x = 6,741.20 × 1,896.48
  4. Step 4: Simplify right side
    4,493.44x = 12,784,550.98
  5. Step 5: Solve for x
    x = 12,784,550.98/4,493.44
  6. Step 6: Final answer
    x = 2,845.16

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Why These Related Problems?

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