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Finding the Fourth Proportional to 3,801.84, 5,246.60 and 2,229.96

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Solution

The fourth proportional to 3,801.84, 5,246.60 and 2,229.96 is: 3,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.84 : 5,246.60 = 2,229.96 : x
  2. Step 2: Convert to fraction form
    3,801.84/5,246.60 = 2,229.96/x
  3. Step 3: Cross multiply
    3,801.84x = 5,246.60 × 2,229.96
  4. Step 4: Simplify right side
    3,801.84x = 11,699,708.14
  5. Step 5: Solve for x
    x = 11,699,708.14/3,801.84
  6. Step 6: Final answer
    x = 3,077.38

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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.