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Finding the Fourth Proportional to 3,709.37, 5,120.07 and 2,138.51

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Solution

The fourth proportional to 3,709.37, 5,120.07 and 2,138.51 is: 2,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.37 : 5,120.07 = 2,138.51 : x
  2. Step 2: Convert to fraction form
    3,709.37/5,120.07 = 2,138.51/x
  3. Step 3: Cross multiply
    3,709.37x = 5,120.07 × 2,138.51
  4. Step 4: Simplify right side
    3,709.37x = 10,949,320.90
  5. Step 5: Solve for x
    x = 10,949,320.90/3,709.37
  6. Step 6: Final answer
    x = 2,951.80

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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.