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Finding the Fourth Proportional to 3,984.49, 5,974.53 and 1,905.02

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Solution

The fourth proportional to 3,984.49, 5,974.53 and 1,905.02 is: 2,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.49 : 5,974.53 = 1,905.02 : x
  2. Step 2: Convert to fraction form
    3,984.49/5,974.53 = 1,905.02/x
  3. Step 3: Cross multiply
    3,984.49x = 5,974.53 × 1,905.02
  4. Step 4: Simplify right side
    3,984.49x = 11,381,599.14
  5. Step 5: Solve for x
    x = 11,381,599.14/3,984.49
  6. Step 6: Final answer
    x = 2,856.48

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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.