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Finding the Fourth Proportional to 3,782.34, 5,674.59 and 1,589.94

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Solution

The fourth proportional to 3,782.34, 5,674.59 and 1,589.94 is: 2,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.34 : 5,674.59 = 1,589.94 : x
  2. Step 2: Convert to fraction form
    3,782.34/5,674.59 = 1,589.94/x
  3. Step 3: Cross multiply
    3,782.34x = 5,674.59 × 1,589.94
  4. Step 4: Simplify right side
    3,782.34x = 9,022,257.62
  5. Step 5: Solve for x
    x = 9,022,257.62/3,782.34
  6. Step 6: Final answer
    x = 2,385.36

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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.