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Finding the Fourth Proportional to 3,633.66, 5,016.60 and 2,637.90

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Solution

The fourth proportional to 3,633.66, 5,016.60 and 2,637.90 is: 3,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.66 : 5,016.60 = 2,637.90 : x
  2. Step 2: Convert to fraction form
    3,633.66/5,016.60 = 2,637.90/x
  3. Step 3: Cross multiply
    3,633.66x = 5,016.60 × 2,637.90
  4. Step 4: Simplify right side
    3,633.66x = 13,233,289.14
  5. Step 5: Solve for x
    x = 13,233,289.14/3,633.66
  6. Step 6: Final answer
    x = 3,641.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.