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Finding the Fourth Proportional to 3,817.43, 5,718.96 and 2,993.20

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Solution

The fourth proportional to 3,817.43, 5,718.96 and 2,993.20 is: 4,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.43 : 5,718.96 = 2,993.20 : x
  2. Step 2: Convert to fraction form
    3,817.43/5,718.96 = 2,993.20/x
  3. Step 3: Cross multiply
    3,817.43x = 5,718.96 × 2,993.20
  4. Step 4: Simplify right side
    3,817.43x = 17,117,991.07
  5. Step 5: Solve for x
    x = 17,117,991.07/3,817.43
  6. Step 6: Final answer
    x = 4,484.17

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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.