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Finding the Fourth Proportional to 3,676.08, 5,074.02 and 2,184.24

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Solution

The fourth proportional to 3,676.08, 5,074.02 and 2,184.24 is: 3,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.08 : 5,074.02 = 2,184.24 : x
  2. Step 2: Convert to fraction form
    3,676.08/5,074.02 = 2,184.24/x
  3. Step 3: Cross multiply
    3,676.08x = 5,074.02 × 2,184.24
  4. Step 4: Simplify right side
    3,676.08x = 11,082,877.44
  5. Step 5: Solve for x
    x = 11,082,877.44/3,676.08
  6. Step 6: Final answer
    x = 3,014.86

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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.