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Finding the Fourth Proportional to 3,709.64, 5,120.34 and 2,138.36

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Solution

The fourth proportional to 3,709.64, 5,120.34 and 2,138.36 is: 2,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.64 : 5,120.34 = 2,138.36 : x
  2. Step 2: Convert to fraction form
    3,709.64/5,120.34 = 2,138.36/x
  3. Step 3: Cross multiply
    3,709.64x = 5,120.34 × 2,138.36
  4. Step 4: Simplify right side
    3,709.64x = 10,949,130.24
  5. Step 5: Solve for x
    x = 10,949,130.24/3,709.64
  6. Step 6: Final answer
    x = 2,951.53

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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.