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Finding the Fourth Proportional to 4,160.69, 5,741.75 and 2,297.69

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Solution

The fourth proportional to 4,160.69, 5,741.75 and 2,297.69 is: 3,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.69 : 5,741.75 = 2,297.69 : x
  2. Step 2: Convert to fraction form
    4,160.69/5,741.75 = 2,297.69/x
  3. Step 3: Cross multiply
    4,160.69x = 5,741.75 × 2,297.69
  4. Step 4: Simplify right side
    4,160.69x = 13,192,761.56
  5. Step 5: Solve for x
    x = 13,192,761.56/4,160.69
  6. Step 6: Final answer
    x = 3,170.81

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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.