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Finding the Fourth Proportional to 4,954.96, 6,836.72 and 3,361.82

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Solution

The fourth proportional to 4,954.96, 6,836.72 and 3,361.82 is: 4,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.96 : 6,836.72 = 3,361.82 : x
  2. Step 2: Convert to fraction form
    4,954.96/6,836.72 = 3,361.82/x
  3. Step 3: Cross multiply
    4,954.96x = 6,836.72 × 3,361.82
  4. Step 4: Simplify right side
    4,954.96x = 22,983,805.22
  5. Step 5: Solve for x
    x = 22,983,805.22/4,954.96
  6. Step 6: Final answer
    x = 4,638.55

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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.