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Finding the Fourth Proportional to 3,589.56, 5,379.42 and 2,288.70

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Solution

The fourth proportional to 3,589.56, 5,379.42 and 2,288.70 is: 3,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.56 : 5,379.42 = 2,288.70 : x
  2. Step 2: Convert to fraction form
    3,589.56/5,379.42 = 2,288.70/x
  3. Step 3: Cross multiply
    3,589.56x = 5,379.42 × 2,288.70
  4. Step 4: Simplify right side
    3,589.56x = 12,311,878.55
  5. Step 5: Solve for x
    x = 12,311,878.55/3,589.56
  6. Step 6: Final answer
    x = 3,429.91

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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.