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Finding the Fourth Proportional to 3,798.46, 5,240.09 and 2,471.68

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Solution

The fourth proportional to 3,798.46, 5,240.09 and 2,471.68 is: 3,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.46 : 5,240.09 = 2,471.68 : x
  2. Step 2: Convert to fraction form
    3,798.46/5,240.09 = 2,471.68/x
  3. Step 3: Cross multiply
    3,798.46x = 5,240.09 × 2,471.68
  4. Step 4: Simplify right side
    3,798.46x = 12,951,825.65
  5. Step 5: Solve for x
    x = 12,951,825.65/3,798.46
  6. Step 6: Final answer
    x = 3,409.76

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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.