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Finding the Fourth Proportional to 3,973.74, 5,963.98 and 1,635

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Solution

The fourth proportional to 3,973.74, 5,963.98 and 1,635 is: 2,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.74 : 5,963.98 = 1,635 : x
  2. Step 2: Convert to fraction form
    3,973.74/5,963.98 = 1,635/x
  3. Step 3: Cross multiply
    3,973.74x = 5,963.98 × 1,635
  4. Step 4: Simplify right side
    3,973.74x = 9,751,107.30
  5. Step 5: Solve for x
    x = 9,751,107.30/3,973.74
  6. Step 6: Final answer
    x = 2,453.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.