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Finding the Fourth Proportional to 5,472, 8,202.94 and 4,991.04

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Solution

The fourth proportional to 5,472, 8,202.94 and 4,991.04 is: 7,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472 : 8,202.94 = 4,991.04 : x
  2. Step 2: Convert to fraction form
    5,472/8,202.94 = 4,991.04/x
  3. Step 3: Cross multiply
    5,472x = 8,202.94 × 4,991.04
  4. Step 4: Simplify right side
    5,472x = 40,941,201.66
  5. Step 5: Solve for x
    x = 40,941,201.66/5,472
  6. Step 6: Final answer
    x = 7,481.94

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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.