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Finding the Fourth Proportional to 5,974.84, 8,241.78 and 3,880.36

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Solution

The fourth proportional to 5,974.84, 8,241.78 and 3,880.36 is: 5,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.84 : 8,241.78 = 3,880.36 : x
  2. Step 2: Convert to fraction form
    5,974.84/8,241.78 = 3,880.36/x
  3. Step 3: Cross multiply
    5,974.84x = 8,241.78 × 3,880.36
  4. Step 4: Simplify right side
    5,974.84x = 31,981,073.44
  5. Step 5: Solve for x
    x = 31,981,073.44/5,974.84
  6. Step 6: Final answer
    x = 5,352.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.