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Finding the Fourth Proportional to 4,072.66, 5,620.26 and 2,209.66

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Solution

The fourth proportional to 4,072.66, 5,620.26 and 2,209.66 is: 3,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.66 : 5,620.26 = 2,209.66 : x
  2. Step 2: Convert to fraction form
    4,072.66/5,620.26 = 2,209.66/x
  3. Step 3: Cross multiply
    4,072.66x = 5,620.26 × 2,209.66
  4. Step 4: Simplify right side
    4,072.66x = 12,418,863.71
  5. Step 5: Solve for x
    x = 12,418,863.71/4,072.66
  6. Step 6: Final answer
    x = 3,049.32

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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.