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Finding the Fourth Proportional to 3,589.31, 5,381.49 and 1,830.90

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Solution

The fourth proportional to 3,589.31, 5,381.49 and 1,830.90 is: 2,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.31 : 5,381.49 = 1,830.90 : x
  2. Step 2: Convert to fraction form
    3,589.31/5,381.49 = 1,830.90/x
  3. Step 3: Cross multiply
    3,589.31x = 5,381.49 × 1,830.90
  4. Step 4: Simplify right side
    3,589.31x = 9,852,970.04
  5. Step 5: Solve for x
    x = 9,852,970.04/3,589.31
  6. Step 6: Final answer
    x = 2,745.09

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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.