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Finding the Fourth Proportional to 3,709.54, 5,119.14 and 2,137.60

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Solution

The fourth proportional to 3,709.54, 5,119.14 and 2,137.60 is: 2,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.54 : 5,119.14 = 2,137.60 : x
  2. Step 2: Convert to fraction form
    3,709.54/5,119.14 = 2,137.60/x
  3. Step 3: Cross multiply
    3,709.54x = 5,119.14 × 2,137.60
  4. Step 4: Simplify right side
    3,709.54x = 10,942,673.66
  5. Step 5: Solve for x
    x = 10,942,673.66/3,709.54
  6. Step 6: Final answer
    x = 2,949.87

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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.