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Finding the Fourth Proportional to 3,727, 5,137.99 and 2,664.48

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Solution

The fourth proportional to 3,727, 5,137.99 and 2,664.48 is: 3,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727 : 5,137.99 = 2,664.48 : x
  2. Step 2: Convert to fraction form
    3,727/5,137.99 = 2,664.48/x
  3. Step 3: Cross multiply
    3,727x = 5,137.99 × 2,664.48
  4. Step 4: Simplify right side
    3,727x = 13,690,071.60
  5. Step 5: Solve for x
    x = 13,690,071.60/3,727
  6. Step 6: Final answer
    x = 3,673.21

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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.