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Finding the Fourth Proportional to 6,489.44, 8,958.32 and 4,996.80

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Solution

The fourth proportional to 6,489.44, 8,958.32 and 4,996.80 is: 6,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.44 : 8,958.32 = 4,996.80 : x
  2. Step 2: Convert to fraction form
    6,489.44/8,958.32 = 4,996.80/x
  3. Step 3: Cross multiply
    6,489.44x = 8,958.32 × 4,996.80
  4. Step 4: Simplify right side
    6,489.44x = 44,762,933.38
  5. Step 5: Solve for x
    x = 44,762,933.38/6,489.44
  6. Step 6: Final answer
    x = 6,897.81

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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.