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Finding the Fourth Proportional to 4,676.82, 6,455.64 and 3,105.42

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Solution

The fourth proportional to 4,676.82, 6,455.64 and 3,105.42 is: 4,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.82 : 6,455.64 = 3,105.42 : x
  2. Step 2: Convert to fraction form
    4,676.82/6,455.64 = 3,105.42/x
  3. Step 3: Cross multiply
    4,676.82x = 6,455.64 × 3,105.42
  4. Step 4: Simplify right side
    4,676.82x = 20,047,473.57
  5. Step 5: Solve for x
    x = 20,047,473.57/4,676.82
  6. Step 6: Final answer
    x = 4,286.56

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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.