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Finding the Fourth Proportional to 5,294.46, 7,306.79 and 2,936.55

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Solution

The fourth proportional to 5,294.46, 7,306.79 and 2,936.55 is: 4,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.46 : 7,306.79 = 2,936.55 : x
  2. Step 2: Convert to fraction form
    5,294.46/7,306.79 = 2,936.55/x
  3. Step 3: Cross multiply
    5,294.46x = 7,306.79 × 2,936.55
  4. Step 4: Simplify right side
    5,294.46x = 21,456,739.49
  5. Step 5: Solve for x
    x = 21,456,739.49/5,294.46
  6. Step 6: Final answer
    x = 4,052.68

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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.