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Finding the Fourth Proportional to 5,272.62, 7,266.21 and 3,777.94

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Solution

The fourth proportional to 5,272.62, 7,266.21 and 3,777.94 is: 5,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.62 : 7,266.21 = 3,777.94 : x
  2. Step 2: Convert to fraction form
    5,272.62/7,266.21 = 3,777.94/x
  3. Step 3: Cross multiply
    5,272.62x = 7,266.21 × 3,777.94
  4. Step 4: Simplify right side
    5,272.62x = 27,451,305.41
  5. Step 5: Solve for x
    x = 27,451,305.41/5,272.62
  6. Step 6: Final answer
    x = 5,206.39

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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.