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Finding the Fourth Proportional to 3,676, 5,513.28 and 2,429.44

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Solution

The fourth proportional to 3,676, 5,513.28 and 2,429.44 is: 3,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676 : 5,513.28 = 2,429.44 : x
  2. Step 2: Convert to fraction form
    3,676/5,513.28 = 2,429.44/x
  3. Step 3: Cross multiply
    3,676x = 5,513.28 × 2,429.44
  4. Step 4: Simplify right side
    3,676x = 13,394,182.96
  5. Step 5: Solve for x
    x = 13,394,182.96/3,676
  6. Step 6: Final answer
    x = 3,643.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.