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Finding the Fourth Proportional to 3,709.97, 5,119.76 and 2,138.06

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Solution

The fourth proportional to 3,709.97, 5,119.76 and 2,138.06 is: 2,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.97 : 5,119.76 = 2,138.06 : x
  2. Step 2: Convert to fraction form
    3,709.97/5,119.76 = 2,138.06/x
  3. Step 3: Cross multiply
    3,709.97x = 5,119.76 × 2,138.06
  4. Step 4: Simplify right side
    3,709.97x = 10,946,360.18
  5. Step 5: Solve for x
    x = 10,946,360.18/3,709.97
  6. Step 6: Final answer
    x = 2,950.53

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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.