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Finding the Fourth Proportional to 3,662.90, 5,054.76 and 1,984.26

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Solution

The fourth proportional to 3,662.90, 5,054.76 and 1,984.26 is: 2,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.90 : 5,054.76 = 1,984.26 : x
  2. Step 2: Convert to fraction form
    3,662.90/5,054.76 = 1,984.26/x
  3. Step 3: Cross multiply
    3,662.90x = 5,054.76 × 1,984.26
  4. Step 4: Simplify right side
    3,662.90x = 10,029,958.08
  5. Step 5: Solve for x
    x = 10,029,958.08/3,662.90
  6. Step 6: Final answer
    x = 2,738.26

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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.