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Finding the Fourth Proportional to 5,414.38, 8,105.73 and 4,895.58

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Solution

The fourth proportional to 5,414.38, 8,105.73 and 4,895.58 is: 7,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.38 : 8,105.73 = 4,895.58 : x
  2. Step 2: Convert to fraction form
    5,414.38/8,105.73 = 4,895.58/x
  3. Step 3: Cross multiply
    5,414.38x = 8,105.73 × 4,895.58
  4. Step 4: Simplify right side
    5,414.38x = 39,682,209.14
  5. Step 5: Solve for x
    x = 39,682,209.14/5,414.38
  6. Step 6: Final answer
    x = 7,329.04

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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.