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Finding the Fourth Proportional to 3,996.84, 5,996.88 and 1,532.82

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Solution

The fourth proportional to 3,996.84, 5,996.88 and 1,532.82 is: 2,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.84 : 5,996.88 = 1,532.82 : x
  2. Step 2: Convert to fraction form
    3,996.84/5,996.88 = 1,532.82/x
  3. Step 3: Cross multiply
    3,996.84x = 5,996.88 × 1,532.82
  4. Step 4: Simplify right side
    3,996.84x = 9,192,137.60
  5. Step 5: Solve for x
    x = 9,192,137.60/3,996.84
  6. Step 6: Final answer
    x = 2,299.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.