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Finding the Fourth Proportional to 3,538.86, 5,304.63 and 1,198.09

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Solution

The fourth proportional to 3,538.86, 5,304.63 and 1,198.09 is: 1,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.86 : 5,304.63 = 1,198.09 : x
  2. Step 2: Convert to fraction form
    3,538.86/5,304.63 = 1,198.09/x
  3. Step 3: Cross multiply
    3,538.86x = 5,304.63 × 1,198.09
  4. Step 4: Simplify right side
    3,538.86x = 6,355,424.16
  5. Step 5: Solve for x
    x = 6,355,424.16/3,538.86
  6. Step 6: Final answer
    x = 1,795.90

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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.