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Finding the Fourth Proportional to 3,476, 4,796.68 and 1,963.56

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Solution

The fourth proportional to 3,476, 4,796.68 and 1,963.56 is: 2,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476 : 4,796.68 = 1,963.56 : x
  2. Step 2: Convert to fraction form
    3,476/4,796.68 = 1,963.56/x
  3. Step 3: Cross multiply
    3,476x = 4,796.68 × 1,963.56
  4. Step 4: Simplify right side
    3,476x = 9,418,568.98
  5. Step 5: Solve for x
    x = 9,418,568.98/3,476
  6. Step 6: Final answer
    x = 2,709.60

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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.