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Finding the Fourth Proportional to 5,305.50, 7,961.09 and 2,708.64

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Solution

The fourth proportional to 5,305.50, 7,961.09 and 2,708.64 is: 4,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.50 : 7,961.09 = 2,708.64 : x
  2. Step 2: Convert to fraction form
    5,305.50/7,961.09 = 2,708.64/x
  3. Step 3: Cross multiply
    5,305.50x = 7,961.09 × 2,708.64
  4. Step 4: Simplify right side
    5,305.50x = 21,563,713.27
  5. Step 5: Solve for x
    x = 21,563,713.27/5,305.50
  6. Step 6: Final answer
    x = 4,064.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.