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Finding the Fourth Proportional to 3,630.89, 5,008.97 and 2,138.10

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Solution

The fourth proportional to 3,630.89, 5,008.97 and 2,138.10 is: 2,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.89 : 5,008.97 = 2,138.10 : x
  2. Step 2: Convert to fraction form
    3,630.89/5,008.97 = 2,138.10/x
  3. Step 3: Cross multiply
    3,630.89x = 5,008.97 × 2,138.10
  4. Step 4: Simplify right side
    3,630.89x = 10,709,660.81
  5. Step 5: Solve for x
    x = 10,709,660.81/3,630.89
  6. Step 6: Final answer
    x = 2,949.59

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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.