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Finding the Fourth Proportional to 3,234.75, 4,852.16 and 2,589.59

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Solution

The fourth proportional to 3,234.75, 4,852.16 and 2,589.59 is: 3,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.75 : 4,852.16 = 2,589.59 : x
  2. Step 2: Convert to fraction form
    3,234.75/4,852.16 = 2,589.59/x
  3. Step 3: Cross multiply
    3,234.75x = 4,852.16 × 2,589.59
  4. Step 4: Simplify right side
    3,234.75x = 12,565,105.01
  5. Step 5: Solve for x
    x = 12,565,105.01/3,234.75
  6. Step 6: Final answer
    x = 3,884.41

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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.