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Finding the Fourth Proportional to 5,524.38, 7,623.42 and 3,164.88

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Solution

The fourth proportional to 5,524.38, 7,623.42 and 3,164.88 is: 4,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.38 : 7,623.42 = 3,164.88 : x
  2. Step 2: Convert to fraction form
    5,524.38/7,623.42 = 3,164.88/x
  3. Step 3: Cross multiply
    5,524.38x = 7,623.42 × 3,164.88
  4. Step 4: Simplify right side
    5,524.38x = 24,127,209.49
  5. Step 5: Solve for x
    x = 24,127,209.49/5,524.38
  6. Step 6: Final answer
    x = 4,367.41

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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.