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Finding the Fourth Proportional to 3,677.82, 5,074.44 and 2,185.38

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Solution

The fourth proportional to 3,677.82, 5,074.44 and 2,185.38 is: 3,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.82 : 5,074.44 = 2,185.38 : x
  2. Step 2: Convert to fraction form
    3,677.82/5,074.44 = 2,185.38/x
  3. Step 3: Cross multiply
    3,677.82x = 5,074.44 × 2,185.38
  4. Step 4: Simplify right side
    3,677.82x = 11,089,579.69
  5. Step 5: Solve for x
    x = 11,089,579.69/3,677.82
  6. Step 6: Final answer
    x = 3,015.26

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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.