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Finding the Fourth Proportional to 5,437.00, 7,502.70 and 3,198.44

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Solution

The fourth proportional to 5,437.00, 7,502.70 and 3,198.44 is: 4,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.00 : 7,502.70 = 3,198.44 : x
  2. Step 2: Convert to fraction form
    5,437.00/7,502.70 = 3,198.44/x
  3. Step 3: Cross multiply
    5,437.00x = 7,502.70 × 3,198.44
  4. Step 4: Simplify right side
    5,437.00x = 23,996,933.44
  5. Step 5: Solve for x
    x = 23,996,933.44/5,437.00
  6. Step 6: Final answer
    x = 4,413.64

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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.