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Finding the Fourth Proportional to 5,414.53, 7,469.29 and 3,529.27

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Solution

The fourth proportional to 5,414.53, 7,469.29 and 3,529.27 is: 4,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.53 : 7,469.29 = 3,529.27 : x
  2. Step 2: Convert to fraction form
    5,414.53/7,469.29 = 3,529.27/x
  3. Step 3: Cross multiply
    5,414.53x = 7,469.29 × 3,529.27
  4. Step 4: Simplify right side
    5,414.53x = 26,361,144.94
  5. Step 5: Solve for x
    x = 26,361,144.94/5,414.53
  6. Step 6: Final answer
    x = 4,868.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.