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Finding the Fourth Proportional to 5,935.71, 8,191.62 and 3,578.22

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Solution

The fourth proportional to 5,935.71, 8,191.62 and 3,578.22 is: 4,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.71 : 8,191.62 = 3,578.22 : x
  2. Step 2: Convert to fraction form
    5,935.71/8,191.62 = 3,578.22/x
  3. Step 3: Cross multiply
    5,935.71x = 8,191.62 × 3,578.22
  4. Step 4: Simplify right side
    5,935.71x = 29,311,418.52
  5. Step 5: Solve for x
    x = 29,311,418.52/5,935.71
  6. Step 6: Final answer
    x = 4,938.15

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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.