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Finding the Fourth Proportional to 5,935.54, 8,191.21 and 3,283.12

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Solution

The fourth proportional to 5,935.54, 8,191.21 and 3,283.12 is: 4,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.54 : 8,191.21 = 3,283.12 : x
  2. Step 2: Convert to fraction form
    5,935.54/8,191.21 = 3,283.12/x
  3. Step 3: Cross multiply
    5,935.54x = 8,191.21 × 3,283.12
  4. Step 4: Simplify right side
    5,935.54x = 26,892,725.38
  5. Step 5: Solve for x
    x = 26,892,725.38/5,935.54
  6. Step 6: Final answer
    x = 4,530.80

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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.