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Finding the Fourth Proportional to 6,489.27, 8,959.28 and 4,254.39

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Solution

The fourth proportional to 6,489.27, 8,959.28 and 4,254.39 is: 5,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.27 : 8,959.28 = 4,254.39 : x
  2. Step 2: Convert to fraction form
    6,489.27/8,959.28 = 4,254.39/x
  3. Step 3: Cross multiply
    6,489.27x = 8,959.28 × 4,254.39
  4. Step 4: Simplify right side
    6,489.27x = 38,116,249.97
  5. Step 5: Solve for x
    x = 38,116,249.97/6,489.27
  6. Step 6: Final answer
    x = 5,873.73

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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.