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Finding the Fourth Proportional to 3,455.22, 4,769.21 and 1,963.96

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Solution

The fourth proportional to 3,455.22, 4,769.21 and 1,963.96 is: 2,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.22 : 4,769.21 = 1,963.96 : x
  2. Step 2: Convert to fraction form
    3,455.22/4,769.21 = 1,963.96/x
  3. Step 3: Cross multiply
    3,455.22x = 4,769.21 × 1,963.96
  4. Step 4: Simplify right side
    3,455.22x = 9,366,530.66
  5. Step 5: Solve for x
    x = 9,366,530.66/3,455.22
  6. Step 6: Final answer
    x = 2,710.83

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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.