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Finding the Fourth Proportional to 4,512.86, 6,765.03 and 1,589.30

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Solution

The fourth proportional to 4,512.86, 6,765.03 and 1,589.30 is: 2,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.86 : 6,765.03 = 1,589.30 : x
  2. Step 2: Convert to fraction form
    4,512.86/6,765.03 = 1,589.30/x
  3. Step 3: Cross multiply
    4,512.86x = 6,765.03 × 1,589.30
  4. Step 4: Simplify right side
    4,512.86x = 10,751,628.35
  5. Step 5: Solve for x
    x = 10,751,628.35/4,512.86
  6. Step 6: Final answer
    x = 2,382.44

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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.