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Finding the Fourth Proportional to 6,511.92, 8,988.78 and 3,859.38

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Solution

The fourth proportional to 6,511.92, 8,988.78 and 3,859.38 is: 5,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.92 : 8,988.78 = 3,859.38 : x
  2. Step 2: Convert to fraction form
    6,511.92/8,988.78 = 3,859.38/x
  3. Step 3: Cross multiply
    6,511.92x = 8,988.78 × 3,859.38
  4. Step 4: Simplify right side
    6,511.92x = 34,691,117.76
  5. Step 5: Solve for x
    x = 34,691,117.76/6,511.92
  6. Step 6: Final answer
    x = 5,327.33

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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.