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Finding the Fourth Proportional to 3,325.84, 4,984.44 and 3,274

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Solution

The fourth proportional to 3,325.84, 4,984.44 and 3,274 is: 4,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.84 : 4,984.44 = 3,274 : x
  2. Step 2: Convert to fraction form
    3,325.84/4,984.44 = 3,274/x
  3. Step 3: Cross multiply
    3,325.84x = 4,984.44 × 3,274
  4. Step 4: Simplify right side
    3,325.84x = 16,319,056.56
  5. Step 5: Solve for x
    x = 16,319,056.56/3,325.84
  6. Step 6: Final answer
    x = 4,906.75

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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.