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Finding the Fourth Proportional to 3,494.91, 5,240.75 and 2,034.48

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Solution

The fourth proportional to 3,494.91, 5,240.75 and 2,034.48 is: 3,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.91 : 5,240.75 = 2,034.48 : x
  2. Step 2: Convert to fraction form
    3,494.91/5,240.75 = 2,034.48/x
  3. Step 3: Cross multiply
    3,494.91x = 5,240.75 × 2,034.48
  4. Step 4: Simplify right side
    3,494.91x = 10,662,190.89
  5. Step 5: Solve for x
    x = 10,662,190.89/3,494.91
  6. Step 6: Final answer
    x = 3,050.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.