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Finding the Fourth Proportional to 5,674.97, 8,511.15 and 2,165.38

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Solution

The fourth proportional to 5,674.97, 8,511.15 and 2,165.38 is: 3,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.97 : 8,511.15 = 2,165.38 : x
  2. Step 2: Convert to fraction form
    5,674.97/8,511.15 = 2,165.38/x
  3. Step 3: Cross multiply
    5,674.97x = 8,511.15 × 2,165.38
  4. Step 4: Simplify right side
    5,674.97x = 18,429,873.99
  5. Step 5: Solve for x
    x = 18,429,873.99/5,674.97
  6. Step 6: Final answer
    x = 3,247.57

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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.