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Finding the Fourth Proportional to 3,986.01, 5,974.97 and 1,902.96

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Solution

The fourth proportional to 3,986.01, 5,974.97 and 1,902.96 is: 2,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.01 : 5,974.97 = 1,902.96 : x
  2. Step 2: Convert to fraction form
    3,986.01/5,974.97 = 1,902.96/x
  3. Step 3: Cross multiply
    3,986.01x = 5,974.97 × 1,902.96
  4. Step 4: Simplify right side
    3,986.01x = 11,370,119.40
  5. Step 5: Solve for x
    x = 11,370,119.40/3,986.01
  6. Step 6: Final answer
    x = 2,852.51

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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.