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Finding the Fourth Proportional to 4,150.00, 5,727.48 and 2,471.38

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Solution

The fourth proportional to 4,150.00, 5,727.48 and 2,471.38 is: 3,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.00 : 5,727.48 = 2,471.38 : x
  2. Step 2: Convert to fraction form
    4,150.00/5,727.48 = 2,471.38/x
  3. Step 3: Cross multiply
    4,150.00x = 5,727.48 × 2,471.38
  4. Step 4: Simplify right side
    4,150.00x = 14,154,755.94
  5. Step 5: Solve for x
    x = 14,154,755.94/4,150.00
  6. Step 6: Final answer
    x = 3,410.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.