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Finding the Fourth Proportional to 3,782.25, 5,667.57 and 1,589.76

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Solution

The fourth proportional to 3,782.25, 5,667.57 and 1,589.76 is: 2,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.25 : 5,667.57 = 1,589.76 : x
  2. Step 2: Convert to fraction form
    3,782.25/5,667.57 = 1,589.76/x
  3. Step 3: Cross multiply
    3,782.25x = 5,667.57 × 1,589.76
  4. Step 4: Simplify right side
    3,782.25x = 9,010,076.08
  5. Step 5: Solve for x
    x = 9,010,076.08/3,782.25
  6. Step 6: Final answer
    x = 2,382.20

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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.