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Finding the Fourth Proportional to 3,546.53, 5,316.03 and 1,693.73

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Solution

The fourth proportional to 3,546.53, 5,316.03 and 1,693.73 is: 2,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.53 : 5,316.03 = 1,693.73 : x
  2. Step 2: Convert to fraction form
    3,546.53/5,316.03 = 1,693.73/x
  3. Step 3: Cross multiply
    3,546.53x = 5,316.03 × 1,693.73
  4. Step 4: Simplify right side
    3,546.53x = 9,003,884.44
  5. Step 5: Solve for x
    x = 9,003,884.44/3,546.53
  6. Step 6: Final answer
    x = 2,538.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.