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Finding the Fourth Proportional to 3,631.61, 5,009.27 and 2,138.27

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Solution

The fourth proportional to 3,631.61, 5,009.27 and 2,138.27 is: 2,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.61 : 5,009.27 = 2,138.27 : x
  2. Step 2: Convert to fraction form
    3,631.61/5,009.27 = 2,138.27/x
  3. Step 3: Cross multiply
    3,631.61x = 5,009.27 × 2,138.27
  4. Step 4: Simplify right side
    3,631.61x = 10,711,161.07
  5. Step 5: Solve for x
    x = 10,711,161.07/3,631.61
  6. Step 6: Final answer
    x = 2,949.42

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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.