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Finding the Fourth Proportional to 3,983.68, 5,971.19 and 2,004.57

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Solution

The fourth proportional to 3,983.68, 5,971.19 and 2,004.57 is: 3,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.68 : 5,971.19 = 2,004.57 : x
  2. Step 2: Convert to fraction form
    3,983.68/5,971.19 = 2,004.57/x
  3. Step 3: Cross multiply
    3,983.68x = 5,971.19 × 2,004.57
  4. Step 4: Simplify right side
    3,983.68x = 11,969,673.35
  5. Step 5: Solve for x
    x = 11,969,673.35/3,983.68
  6. Step 6: Final answer
    x = 3,004.68

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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.