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Finding the Fourth Proportional to 3,880.44, 5,354.93 and 2,112

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Solution

The fourth proportional to 3,880.44, 5,354.93 and 2,112 is: 2,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.44 : 5,354.93 = 2,112 : x
  2. Step 2: Convert to fraction form
    3,880.44/5,354.93 = 2,112/x
  3. Step 3: Cross multiply
    3,880.44x = 5,354.93 × 2,112
  4. Step 4: Simplify right side
    3,880.44x = 11,309,601.60
  5. Step 5: Solve for x
    x = 11,309,601.60/3,880.44
  6. Step 6: Final answer
    x = 2,914.52

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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.