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Finding the Fourth Proportional to 3,924.49, 5,415.03 and 2,246.41

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Solution

The fourth proportional to 3,924.49, 5,415.03 and 2,246.41 is: 3,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.49 : 5,415.03 = 2,246.41 : x
  2. Step 2: Convert to fraction form
    3,924.49/5,415.03 = 2,246.41/x
  3. Step 3: Cross multiply
    3,924.49x = 5,415.03 × 2,246.41
  4. Step 4: Simplify right side
    3,924.49x = 12,164,377.54
  5. Step 5: Solve for x
    x = 12,164,377.54/3,924.49
  6. Step 6: Final answer
    x = 3,099.61

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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.