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Finding the Fourth Proportional to 3,880.44, 5,354.82 and 2,111.94

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Solution

The fourth proportional to 3,880.44, 5,354.82 and 2,111.94 is: 2,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.44 : 5,354.82 = 2,111.94 : x
  2. Step 2: Convert to fraction form
    3,880.44/5,354.82 = 2,111.94/x
  3. Step 3: Cross multiply
    3,880.44x = 5,354.82 × 2,111.94
  4. Step 4: Simplify right side
    3,880.44x = 11,309,058.55
  5. Step 5: Solve for x
    x = 11,309,058.55/3,880.44
  6. Step 6: Final answer
    x = 2,914.38

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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.