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Finding the Fourth Proportional to 3,548.44, 5,293.64 and 3,296.73

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Solution

The fourth proportional to 3,548.44, 5,293.64 and 3,296.73 is: 4,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.44 : 5,293.64 = 3,296.73 : x
  2. Step 2: Convert to fraction form
    3,548.44/5,293.64 = 3,296.73/x
  3. Step 3: Cross multiply
    3,548.44x = 5,293.64 × 3,296.73
  4. Step 4: Simplify right side
    3,548.44x = 17,451,685.31
  5. Step 5: Solve for x
    x = 17,451,685.31/3,548.44
  6. Step 6: Final answer
    x = 4,918.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.