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Finding the Fourth Proportional to 3,791.21, 5,676.01 and 3,012.32

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Solution

The fourth proportional to 3,791.21, 5,676.01 and 3,012.32 is: 4,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.21 : 5,676.01 = 3,012.32 : x
  2. Step 2: Convert to fraction form
    3,791.21/5,676.01 = 3,012.32/x
  3. Step 3: Cross multiply
    3,791.21x = 5,676.01 × 3,012.32
  4. Step 4: Simplify right side
    3,791.21x = 17,097,965.10
  5. Step 5: Solve for x
    x = 17,097,965.10/3,791.21
  6. Step 6: Final answer
    x = 4,509.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.