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Finding the Fourth Proportional to 3,676.37, 5,073.82 and 2,184.30

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Solution

The fourth proportional to 3,676.37, 5,073.82 and 2,184.30 is: 3,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.37 : 5,073.82 = 2,184.30 : x
  2. Step 2: Convert to fraction form
    3,676.37/5,073.82 = 2,184.30/x
  3. Step 3: Cross multiply
    3,676.37x = 5,073.82 × 2,184.30
  4. Step 4: Simplify right side
    3,676.37x = 11,082,751.85
  5. Step 5: Solve for x
    x = 11,082,751.85/3,676.37
  6. Step 6: Final answer
    x = 3,014.59

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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.