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Finding the Fourth Proportional to 5,004.63, 6,906.38 and 2,796.63

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Solution

The fourth proportional to 5,004.63, 6,906.38 and 2,796.63 is: 3,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.63 : 6,906.38 = 2,796.63 : x
  2. Step 2: Convert to fraction form
    5,004.63/6,906.38 = 2,796.63/x
  3. Step 3: Cross multiply
    5,004.63x = 6,906.38 × 2,796.63
  4. Step 4: Simplify right side
    5,004.63x = 19,314,589.50
  5. Step 5: Solve for x
    x = 19,314,589.50/5,004.63
  6. Step 6: Final answer
    x = 3,859.34

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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.