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Finding the Fourth Proportional to 3,996.57, 5,996.79 and 1,658.37

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Solution

The fourth proportional to 3,996.57, 5,996.79 and 1,658.37 is: 2,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.57 : 5,996.79 = 1,658.37 : x
  2. Step 2: Convert to fraction form
    3,996.57/5,996.79 = 1,658.37/x
  3. Step 3: Cross multiply
    3,996.57x = 5,996.79 × 1,658.37
  4. Step 4: Simplify right side
    3,996.57x = 9,944,896.63
  5. Step 5: Solve for x
    x = 9,944,896.63/3,996.57
  6. Step 6: Final answer
    x = 2,488.36

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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.