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Finding the Fourth Proportional to 3,984.44, 5,495.78 and 2,328.44

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Solution

The fourth proportional to 3,984.44, 5,495.78 and 2,328.44 is: 3,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.44 : 5,495.78 = 2,328.44 : x
  2. Step 2: Convert to fraction form
    3,984.44/5,495.78 = 2,328.44/x
  3. Step 3: Cross multiply
    3,984.44x = 5,495.78 × 2,328.44
  4. Step 4: Simplify right side
    3,984.44x = 12,796,593.98
  5. Step 5: Solve for x
    x = 12,796,593.98/3,984.44
  6. Step 6: Final answer
    x = 3,211.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.