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Finding the Fourth Proportional to 3,676.82, 5,074.83 and 2,261.72

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Solution

The fourth proportional to 3,676.82, 5,074.83 and 2,261.72 is: 3,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.82 : 5,074.83 = 2,261.72 : x
  2. Step 2: Convert to fraction form
    3,676.82/5,074.83 = 2,261.72/x
  3. Step 3: Cross multiply
    3,676.82x = 5,074.83 × 2,261.72
  4. Step 4: Simplify right side
    3,676.82x = 11,477,857.19
  5. Step 5: Solve for x
    x = 11,477,857.19/3,676.82
  6. Step 6: Final answer
    x = 3,121.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.