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Finding the Fourth Proportional to 3,801.64, 5,245.12 and 3,676.36

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Solution

The fourth proportional to 3,801.64, 5,245.12 and 3,676.36 is: 5,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.64 : 5,245.12 = 3,676.36 : x
  2. Step 2: Convert to fraction form
    3,801.64/5,245.12 = 3,676.36/x
  3. Step 3: Cross multiply
    3,801.64x = 5,245.12 × 3,676.36
  4. Step 4: Simplify right side
    3,801.64x = 19,282,949.36
  5. Step 5: Solve for x
    x = 19,282,949.36/3,801.64
  6. Step 6: Final answer
    x = 5,072.27

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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.