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Finding the Fourth Proportional to 4,696.63, 6,486.68 and 3,201.99

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Solution

The fourth proportional to 4,696.63, 6,486.68 and 3,201.99 is: 4,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.63 : 6,486.68 = 3,201.99 : x
  2. Step 2: Convert to fraction form
    4,696.63/6,486.68 = 3,201.99/x
  3. Step 3: Cross multiply
    4,696.63x = 6,486.68 × 3,201.99
  4. Step 4: Simplify right side
    4,696.63x = 20,770,284.49
  5. Step 5: Solve for x
    x = 20,770,284.49/4,696.63
  6. Step 6: Final answer
    x = 4,422.38

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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.