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Finding the Fourth Proportional to 5,414.41, 8,125.25 and 2,453.65

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Solution

The fourth proportional to 5,414.41, 8,125.25 and 2,453.65 is: 3,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.41 : 8,125.25 = 2,453.65 : x
  2. Step 2: Convert to fraction form
    5,414.41/8,125.25 = 2,453.65/x
  3. Step 3: Cross multiply
    5,414.41x = 8,125.25 × 2,453.65
  4. Step 4: Simplify right side
    5,414.41x = 19,936,519.66
  5. Step 5: Solve for x
    x = 19,936,519.66/5,414.41
  6. Step 6: Final answer
    x = 3,682.12

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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.