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Finding the Fourth Proportional to 5,977.82, 8,249.10 and 3,325.22

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Solution

The fourth proportional to 5,977.82, 8,249.10 and 3,325.22 is: 4,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.82 : 8,249.10 = 3,325.22 : x
  2. Step 2: Convert to fraction form
    5,977.82/8,249.10 = 3,325.22/x
  3. Step 3: Cross multiply
    5,977.82x = 8,249.10 × 3,325.22
  4. Step 4: Simplify right side
    5,977.82x = 27,430,072.30
  5. Step 5: Solve for x
    x = 27,430,072.30/5,977.82
  6. Step 6: Final answer
    x = 4,588.64

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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.