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Finding the Fourth Proportional to 4,696.85, 6,481.64 and 2,707.39

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Solution

The fourth proportional to 4,696.85, 6,481.64 and 2,707.39 is: 3,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.85 : 6,481.64 = 2,707.39 : x
  2. Step 2: Convert to fraction form
    4,696.85/6,481.64 = 2,707.39/x
  3. Step 3: Cross multiply
    4,696.85x = 6,481.64 × 2,707.39
  4. Step 4: Simplify right side
    4,696.85x = 17,548,326.96
  5. Step 5: Solve for x
    x = 17,548,326.96/4,696.85
  6. Step 6: Final answer
    x = 3,736.19

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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.