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Finding the Fourth Proportional to 3,175.68, 4,735.36 and 2,963.84

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Solution

The fourth proportional to 3,175.68, 4,735.36 and 2,963.84 is: 4,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.68 : 4,735.36 = 2,963.84 : x
  2. Step 2: Convert to fraction form
    3,175.68/4,735.36 = 2,963.84/x
  3. Step 3: Cross multiply
    3,175.68x = 4,735.36 × 2,963.84
  4. Step 4: Simplify right side
    3,175.68x = 14,034,849.38
  5. Step 5: Solve for x
    x = 14,034,849.38/3,175.68
  6. Step 6: Final answer
    x = 4,419.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.