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Finding the Fourth Proportional to 3,982.68, 5,974.29 and 1,643.58

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Solution

The fourth proportional to 3,982.68, 5,974.29 and 1,643.58 is: 2,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.68 : 5,974.29 = 1,643.58 : x
  2. Step 2: Convert to fraction form
    3,982.68/5,974.29 = 1,643.58/x
  3. Step 3: Cross multiply
    3,982.68x = 5,974.29 × 1,643.58
  4. Step 4: Simplify right side
    3,982.68x = 9,819,223.56
  5. Step 5: Solve for x
    x = 9,819,223.56/3,982.68
  6. Step 6: Final answer
    x = 2,465.48

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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.