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Finding the Fourth Proportional to 6,288.71, 8,678.49 and 3,456.39

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Solution

The fourth proportional to 6,288.71, 8,678.49 and 3,456.39 is: 4,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.71 : 8,678.49 = 3,456.39 : x
  2. Step 2: Convert to fraction form
    6,288.71/8,678.49 = 3,456.39/x
  3. Step 3: Cross multiply
    6,288.71x = 8,678.49 × 3,456.39
  4. Step 4: Simplify right side
    6,288.71x = 29,996,236.26
  5. Step 5: Solve for x
    x = 29,996,236.26/6,288.71
  6. Step 6: Final answer
    x = 4,769.86

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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.