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Finding the Fourth Proportional to 4,669, 6,443.22 and 2,806

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Solution

The fourth proportional to 4,669, 6,443.22 and 2,806 is: 3,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669 : 6,443.22 = 2,806 : x
  2. Step 2: Convert to fraction form
    4,669/6,443.22 = 2,806/x
  3. Step 3: Cross multiply
    4,669x = 6,443.22 × 2,806
  4. Step 4: Simplify right side
    4,669x = 18,079,675.32
  5. Step 5: Solve for x
    x = 18,079,675.32/4,669
  6. Step 6: Final answer
    x = 3,872.28

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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.