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Finding the Fourth Proportional to 3,676.82, 5,074.45 and 2,104.88

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Solution

The fourth proportional to 3,676.82, 5,074.45 and 2,104.88 is: 2,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.82 : 5,074.45 = 2,104.88 : x
  2. Step 2: Convert to fraction form
    3,676.82/5,074.45 = 2,104.88/x
  3. Step 3: Cross multiply
    3,676.82x = 5,074.45 × 2,104.88
  4. Step 4: Simplify right side
    3,676.82x = 10,681,077.68
  5. Step 5: Solve for x
    x = 10,681,077.68/3,676.82
  6. Step 6: Final answer
    x = 2,904.98

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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.