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Finding the Fourth Proportional to 3,977.09, 5,964.62 and 1,637.76

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Solution

The fourth proportional to 3,977.09, 5,964.62 and 1,637.76 is: 2,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.09 : 5,964.62 = 1,637.76 : x
  2. Step 2: Convert to fraction form
    3,977.09/5,964.62 = 1,637.76/x
  3. Step 3: Cross multiply
    3,977.09x = 5,964.62 × 1,637.76
  4. Step 4: Simplify right side
    3,977.09x = 9,768,616.05
  5. Step 5: Solve for x
    x = 9,768,616.05/3,977.09
  6. Step 6: Final answer
    x = 2,456.22

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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.