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Finding the Fourth Proportional to 5,471.38, 8,164.38 and 4,882.33

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Solution

The fourth proportional to 5,471.38, 8,164.38 and 4,882.33 is: 7,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.38 : 8,164.38 = 4,882.33 : x
  2. Step 2: Convert to fraction form
    5,471.38/8,164.38 = 4,882.33/x
  3. Step 3: Cross multiply
    5,471.38x = 8,164.38 × 4,882.33
  4. Step 4: Simplify right side
    5,471.38x = 39,861,197.41
  5. Step 5: Solve for x
    x = 39,861,197.41/5,471.38
  6. Step 6: Final answer
    x = 7,285.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.