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Finding the Fourth Proportional to 5,297.25, 7,310.72 and 3,059.83

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Solution

The fourth proportional to 5,297.25, 7,310.72 and 3,059.83 is: 4,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.25 : 7,310.72 = 3,059.83 : x
  2. Step 2: Convert to fraction form
    5,297.25/7,310.72 = 3,059.83/x
  3. Step 3: Cross multiply
    5,297.25x = 7,310.72 × 3,059.83
  4. Step 4: Simplify right side
    5,297.25x = 22,369,560.38
  5. Step 5: Solve for x
    x = 22,369,560.38/5,297.25
  6. Step 6: Final answer
    x = 4,222.86

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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.