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Finding the Fourth Proportional to 5,449.38, 7,524.36 and 4,188.42

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Solution

The fourth proportional to 5,449.38, 7,524.36 and 4,188.42 is: 5,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.38 : 7,524.36 = 4,188.42 : x
  2. Step 2: Convert to fraction form
    5,449.38/7,524.36 = 4,188.42/x
  3. Step 3: Cross multiply
    5,449.38x = 7,524.36 × 4,188.42
  4. Step 4: Simplify right side
    5,449.38x = 31,515,179.91
  5. Step 5: Solve for x
    x = 31,515,179.91/5,449.38
  6. Step 6: Final answer
    x = 5,783.26

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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.