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Finding the Fourth Proportional to 4,696.64, 6,481.28 and 2,833.64

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Solution

The fourth proportional to 4,696.64, 6,481.28 and 2,833.64 is: 3,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.64 : 6,481.28 = 2,833.64 : x
  2. Step 2: Convert to fraction form
    4,696.64/6,481.28 = 2,833.64/x
  3. Step 3: Cross multiply
    4,696.64x = 6,481.28 × 2,833.64
  4. Step 4: Simplify right side
    4,696.64x = 18,365,614.26
  5. Step 5: Solve for x
    x = 18,365,614.26/4,696.64
  6. Step 6: Final answer
    x = 3,910.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.