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Finding the Fourth Proportional to 3,494.92, 5,240.54 and 2,262.90

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Solution

The fourth proportional to 3,494.92, 5,240.54 and 2,262.90 is: 3,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.92 : 5,240.54 = 2,262.90 : x
  2. Step 2: Convert to fraction form
    3,494.92/5,240.54 = 2,262.90/x
  3. Step 3: Cross multiply
    3,494.92x = 5,240.54 × 2,262.90
  4. Step 4: Simplify right side
    3,494.92x = 11,858,817.97
  5. Step 5: Solve for x
    x = 11,858,817.97/3,494.92
  6. Step 6: Final answer
    x = 3,393.16

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Why These Related Problems?

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