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Finding the Fourth Proportional to 3,486.27, 5,229.53 and 1,637.37

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Solution

The fourth proportional to 3,486.27, 5,229.53 and 1,637.37 is: 2,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.27 : 5,229.53 = 1,637.37 : x
  2. Step 2: Convert to fraction form
    3,486.27/5,229.53 = 1,637.37/x
  3. Step 3: Cross multiply
    3,486.27x = 5,229.53 × 1,637.37
  4. Step 4: Simplify right side
    3,486.27x = 8,562,667.35
  5. Step 5: Solve for x
    x = 8,562,667.35/3,486.27
  6. Step 6: Final answer
    x = 2,456.11

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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.