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Finding the Fourth Proportional to 3,780.44, 5,217.12 and 2,288.63

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Solution

The fourth proportional to 3,780.44, 5,217.12 and 2,288.63 is: 3,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.44 : 5,217.12 = 2,288.63 : x
  2. Step 2: Convert to fraction form
    3,780.44/5,217.12 = 2,288.63/x
  3. Step 3: Cross multiply
    3,780.44x = 5,217.12 × 2,288.63
  4. Step 4: Simplify right side
    3,780.44x = 11,940,057.35
  5. Step 5: Solve for x
    x = 11,940,057.35/3,780.44
  6. Step 6: Final answer
    x = 3,158.38

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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.