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Finding the Fourth Proportional to 3,838.53, 5,297.12 and 2,246.27

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Solution

The fourth proportional to 3,838.53, 5,297.12 and 2,246.27 is: 3,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.53 : 5,297.12 = 2,246.27 : x
  2. Step 2: Convert to fraction form
    3,838.53/5,297.12 = 2,246.27/x
  3. Step 3: Cross multiply
    3,838.53x = 5,297.12 × 2,246.27
  4. Step 4: Simplify right side
    3,838.53x = 11,898,763.75
  5. Step 5: Solve for x
    x = 11,898,763.75/3,838.53
  6. Step 6: Final answer
    x = 3,099.82

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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.