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Finding the Fourth Proportional to 6,299.84, 8,696.76 and 4,205.36

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Solution

The fourth proportional to 6,299.84, 8,696.76 and 4,205.36 is: 5,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.84 : 8,696.76 = 4,205.36 : x
  2. Step 2: Convert to fraction form
    6,299.84/8,696.76 = 4,205.36/x
  3. Step 3: Cross multiply
    6,299.84x = 8,696.76 × 4,205.36
  4. Step 4: Simplify right side
    6,299.84x = 36,573,006.63
  5. Step 5: Solve for x
    x = 36,573,006.63/6,299.84
  6. Step 6: Final answer
    x = 5,805.39

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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.