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Finding the Fourth Proportional to 3,676.72, 5,074.52 and 2,185.50

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Solution

The fourth proportional to 3,676.72, 5,074.52 and 2,185.50 is: 3,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.72 : 5,074.52 = 2,185.50 : x
  2. Step 2: Convert to fraction form
    3,676.72/5,074.52 = 2,185.50/x
  3. Step 3: Cross multiply
    3,676.72x = 5,074.52 × 2,185.50
  4. Step 4: Simplify right side
    3,676.72x = 11,090,396.25
  5. Step 5: Solve for x
    x = 11,090,396.25/3,676.72
  6. Step 6: Final answer
    x = 3,016.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.