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Finding the Fourth Proportional to 3,440.60, 5,158.60 and 1,589.22

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Solution

The fourth proportional to 3,440.60, 5,158.60 and 1,589.22 is: 2,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.60 : 5,158.60 = 1,589.22 : x
  2. Step 2: Convert to fraction form
    3,440.60/5,158.60 = 1,589.22/x
  3. Step 3: Cross multiply
    3,440.60x = 5,158.60 × 1,589.22
  4. Step 4: Simplify right side
    3,440.60x = 8,198,150.29
  5. Step 5: Solve for x
    x = 8,198,150.29/3,440.60
  6. Step 6: Final answer
    x = 2,382.77

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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.