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Finding the Fourth Proportional to 4,511.08, 6,764.19 and 1,589.14

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Solution

The fourth proportional to 4,511.08, 6,764.19 and 1,589.14 is: 2,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.08 : 6,764.19 = 1,589.14 : x
  2. Step 2: Convert to fraction form
    4,511.08/6,764.19 = 1,589.14/x
  3. Step 3: Cross multiply
    4,511.08x = 6,764.19 × 1,589.14
  4. Step 4: Simplify right side
    4,511.08x = 10,749,244.90
  5. Step 5: Solve for x
    x = 10,749,244.90/4,511.08
  6. Step 6: Final answer
    x = 2,382.85

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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.