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Finding the Fourth Proportional to 6,161.12, 9,241.44 and 2,057.12

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Solution

The fourth proportional to 6,161.12, 9,241.44 and 2,057.12 is: 3,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.12 : 9,241.44 = 2,057.12 : x
  2. Step 2: Convert to fraction form
    6,161.12/9,241.44 = 2,057.12/x
  3. Step 3: Cross multiply
    6,161.12x = 9,241.44 × 2,057.12
  4. Step 4: Simplify right side
    6,161.12x = 19,010,751.05
  5. Step 5: Solve for x
    x = 19,010,751.05/6,161.12
  6. Step 6: Final answer
    x = 3,085.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.