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Finding the Fourth Proportional to 6,481.98, 8,933.04 and 4,489.02

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Solution

The fourth proportional to 6,481.98, 8,933.04 and 4,489.02 is: 6,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.98 : 8,933.04 = 4,489.02 : x
  2. Step 2: Convert to fraction form
    6,481.98/8,933.04 = 4,489.02/x
  3. Step 3: Cross multiply
    6,481.98x = 8,933.04 × 4,489.02
  4. Step 4: Simplify right side
    6,481.98x = 40,100,595.22
  5. Step 5: Solve for x
    x = 40,100,595.22/6,481.98
  6. Step 6: Final answer
    x = 6,186.47

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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.