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Finding the Fourth Proportional to 3,710.14, 5,119.41 and 2,138.02

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Solution

The fourth proportional to 3,710.14, 5,119.41 and 2,138.02 is: 2,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.14 : 5,119.41 = 2,138.02 : x
  2. Step 2: Convert to fraction form
    3,710.14/5,119.41 = 2,138.02/x
  3. Step 3: Cross multiply
    3,710.14x = 5,119.41 × 2,138.02
  4. Step 4: Simplify right side
    3,710.14x = 10,945,400.97
  5. Step 5: Solve for x
    x = 10,945,400.97/3,710.14
  6. Step 6: Final answer
    x = 2,950.13

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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.