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Finding the Fourth Proportional to 3,405.22, 4,696.81 and 3,290.92

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Solution

The fourth proportional to 3,405.22, 4,696.81 and 3,290.92 is: 4,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.22 : 4,696.81 = 3,290.92 : x
  2. Step 2: Convert to fraction form
    3,405.22/4,696.81 = 3,290.92/x
  3. Step 3: Cross multiply
    3,405.22x = 4,696.81 × 3,290.92
  4. Step 4: Simplify right side
    3,405.22x = 15,456,806.00
  5. Step 5: Solve for x
    x = 15,456,806.00/3,405.22
  6. Step 6: Final answer
    x = 4,539.15

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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.