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Finding the Fourth Proportional to 3,780, 5,216.88 and 2,209.12

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Solution

The fourth proportional to 3,780, 5,216.88 and 2,209.12 is: 3,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,216.88 = 2,209.12 : x
  2. Step 2: Convert to fraction form
    3,780/5,216.88 = 2,209.12/x
  3. Step 3: Cross multiply
    3,780x = 5,216.88 × 2,209.12
  4. Step 4: Simplify right side
    3,780x = 11,524,713.95
  5. Step 5: Solve for x
    x = 11,524,713.95/3,780
  6. Step 6: Final answer
    x = 3,048.87

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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.