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Finding the Fourth Proportional to 3,589.12, 5,383.84 and 1,282.24

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Solution

The fourth proportional to 3,589.12, 5,383.84 and 1,282.24 is: 1,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.12 : 5,383.84 = 1,282.24 : x
  2. Step 2: Convert to fraction form
    3,589.12/5,383.84 = 1,282.24/x
  3. Step 3: Cross multiply
    3,589.12x = 5,383.84 × 1,282.24
  4. Step 4: Simplify right side
    3,589.12x = 6,903,375.00
  5. Step 5: Solve for x
    x = 6,903,375.00/3,589.12
  6. Step 6: Final answer
    x = 1,923.42

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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.