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Finding the Fourth Proportional to 4,137.72, 6,203.84 and 1,637.25

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Solution

The fourth proportional to 4,137.72, 6,203.84 and 1,637.25 is: 2,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.72 : 6,203.84 = 1,637.25 : x
  2. Step 2: Convert to fraction form
    4,137.72/6,203.84 = 1,637.25/x
  3. Step 3: Cross multiply
    4,137.72x = 6,203.84 × 1,637.25
  4. Step 4: Simplify right side
    4,137.72x = 10,157,237.04
  5. Step 5: Solve for x
    x = 10,157,237.04/4,137.72
  6. Step 6: Final answer
    x = 2,454.79

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