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Finding the Fourth Proportional to 4,696.32, 6,481.98 and 2,707.24

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Solution

The fourth proportional to 4,696.32, 6,481.98 and 2,707.24 is: 3,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.32 : 6,481.98 = 2,707.24 : x
  2. Step 2: Convert to fraction form
    4,696.32/6,481.98 = 2,707.24/x
  3. Step 3: Cross multiply
    4,696.32x = 6,481.98 × 2,707.24
  4. Step 4: Simplify right side
    4,696.32x = 17,548,275.54
  5. Step 5: Solve for x
    x = 17,548,275.54/4,696.32
  6. Step 6: Final answer
    x = 3,736.60

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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.