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Finding the Fourth Proportional to 5,935.80, 8,193.09 and 3,578.09

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Solution

The fourth proportional to 5,935.80, 8,193.09 and 3,578.09 is: 4,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.80 : 8,193.09 = 3,578.09 : x
  2. Step 2: Convert to fraction form
    5,935.80/8,193.09 = 3,578.09/x
  3. Step 3: Cross multiply
    5,935.80x = 8,193.09 × 3,578.09
  4. Step 4: Simplify right side
    5,935.80x = 29,315,572.43
  5. Step 5: Solve for x
    x = 29,315,572.43/5,935.80
  6. Step 6: Final answer
    x = 4,938.77

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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.