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Finding the Fourth Proportional to 3,798.38, 5,241.90 and 2,226.57

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Solution

The fourth proportional to 3,798.38, 5,241.90 and 2,226.57 is: 3,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.38 : 5,241.90 = 2,226.57 : x
  2. Step 2: Convert to fraction form
    3,798.38/5,241.90 = 2,226.57/x
  3. Step 3: Cross multiply
    3,798.38x = 5,241.90 × 2,226.57
  4. Step 4: Simplify right side
    3,798.38x = 11,671,457.28
  5. Step 5: Solve for x
    x = 11,671,457.28/3,798.38
  6. Step 6: Final answer
    x = 3,072.75

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Why These Related Problems?

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