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Finding the Fourth Proportional to 3,589.36, 5,381.96 and 1,640.52

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Solution

The fourth proportional to 3,589.36, 5,381.96 and 1,640.52 is: 2,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.36 : 5,381.96 = 1,640.52 : x
  2. Step 2: Convert to fraction form
    3,589.36/5,381.96 = 1,640.52/x
  3. Step 3: Cross multiply
    3,589.36x = 5,381.96 × 1,640.52
  4. Step 4: Simplify right side
    3,589.36x = 8,829,213.02
  5. Step 5: Solve for x
    x = 8,829,213.02/3,589.36
  6. Step 6: Final answer
    x = 2,459.83

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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.