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Finding the Fourth Proportional to 4,185.70, 5,776.24 and 2,297.23

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Solution

The fourth proportional to 4,185.70, 5,776.24 and 2,297.23 is: 3,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.70 : 5,776.24 = 2,297.23 : x
  2. Step 2: Convert to fraction form
    4,185.70/5,776.24 = 2,297.23/x
  3. Step 3: Cross multiply
    4,185.70x = 5,776.24 × 2,297.23
  4. Step 4: Simplify right side
    4,185.70x = 13,269,340.33
  5. Step 5: Solve for x
    x = 13,269,340.33/4,185.70
  6. Step 6: Final answer
    x = 3,170.16

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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.