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Finding the Fourth Proportional to 5,447.80, 8,169.30 and 2,159.80

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Solution

The fourth proportional to 5,447.80, 8,169.30 and 2,159.80 is: 3,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.80 : 8,169.30 = 2,159.80 : x
  2. Step 2: Convert to fraction form
    5,447.80/8,169.30 = 2,159.80/x
  3. Step 3: Cross multiply
    5,447.80x = 8,169.30 × 2,159.80
  4. Step 4: Simplify right side
    5,447.80x = 17,644,054.14
  5. Step 5: Solve for x
    x = 17,644,054.14/5,447.80
  6. Step 6: Final answer
    x = 3,238.75

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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.