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Finding the Fourth Proportional to 4,173.96, 5,767.74 and 2,993.16

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Solution

The fourth proportional to 4,173.96, 5,767.74 and 2,993.16 is: 4,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.96 : 5,767.74 = 2,993.16 : x
  2. Step 2: Convert to fraction form
    4,173.96/5,767.74 = 2,993.16/x
  3. Step 3: Cross multiply
    4,173.96x = 5,767.74 × 2,993.16
  4. Step 4: Simplify right side
    4,173.96x = 17,263,768.66
  5. Step 5: Solve for x
    x = 17,263,768.66/4,173.96
  6. Step 6: Final answer
    x = 4,136.06

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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.