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Finding the Fourth Proportional to 5,469.65, 7,545.53 and 3,230.03

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Solution

The fourth proportional to 5,469.65, 7,545.53 and 3,230.03 is: 4,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.65 : 7,545.53 = 3,230.03 : x
  2. Step 2: Convert to fraction form
    5,469.65/7,545.53 = 3,230.03/x
  3. Step 3: Cross multiply
    5,469.65x = 7,545.53 × 3,230.03
  4. Step 4: Simplify right side
    5,469.65x = 24,372,234.39
  5. Step 5: Solve for x
    x = 24,372,234.39/5,469.65
  6. Step 6: Final answer
    x = 4,455.91

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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.