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Finding the Fourth Proportional to 4,964.22, 6,850.44 and 2,726.06

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Solution

The fourth proportional to 4,964.22, 6,850.44 and 2,726.06 is: 3,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.22 : 6,850.44 = 2,726.06 : x
  2. Step 2: Convert to fraction form
    4,964.22/6,850.44 = 2,726.06/x
  3. Step 3: Cross multiply
    4,964.22x = 6,850.44 × 2,726.06
  4. Step 4: Simplify right side
    4,964.22x = 18,674,676.21
  5. Step 5: Solve for x
    x = 18,674,676.21/4,964.22
  6. Step 6: Final answer
    x = 3,761.86

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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.