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Finding the Fourth Proportional to 3,974.89, 5,966.78 and 2,334.49

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Solution

The fourth proportional to 3,974.89, 5,966.78 and 2,334.49 is: 3,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.89 : 5,966.78 = 2,334.49 : x
  2. Step 2: Convert to fraction form
    3,974.89/5,966.78 = 2,334.49/x
  3. Step 3: Cross multiply
    3,974.89x = 5,966.78 × 2,334.49
  4. Step 4: Simplify right side
    3,974.89x = 13,929,376.57
  5. Step 5: Solve for x
    x = 13,929,376.57/3,974.89
  6. Step 6: Final answer
    x = 3,504.34

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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.