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Finding the Fourth Proportional to 3,700.10, 5,105.84 and 2,127.90

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Solution

The fourth proportional to 3,700.10, 5,105.84 and 2,127.90 is: 2,936.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.10 : 5,105.84 = 2,127.90 : x
  2. Step 2: Convert to fraction form
    3,700.10/5,105.84 = 2,127.90/x
  3. Step 3: Cross multiply
    3,700.10x = 5,105.84 × 2,127.90
  4. Step 4: Simplify right side
    3,700.10x = 10,864,716.94
  5. Step 5: Solve for x
    x = 10,864,716.94/3,700.10
  6. Step 6: Final answer
    x = 2,936.33

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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.