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Finding the Fourth Proportional to 3,729.15, 5,142.83 and 2,983.14

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Solution

The fourth proportional to 3,729.15, 5,142.83 and 2,983.14 is: 4,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.15 : 5,142.83 = 2,983.14 : x
  2. Step 2: Convert to fraction form
    3,729.15/5,142.83 = 2,983.14/x
  3. Step 3: Cross multiply
    3,729.15x = 5,142.83 × 2,983.14
  4. Step 4: Simplify right side
    3,729.15x = 15,341,766.97
  5. Step 5: Solve for x
    x = 15,341,766.97/3,729.15
  6. Step 6: Final answer
    x = 4,114.01

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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.