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Finding the Fourth Proportional to 6,197.69, 8,553.06 and 3,545.06

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Solution

The fourth proportional to 6,197.69, 8,553.06 and 3,545.06 is: 4,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.69 : 8,553.06 = 3,545.06 : x
  2. Step 2: Convert to fraction form
    6,197.69/8,553.06 = 3,545.06/x
  3. Step 3: Cross multiply
    6,197.69x = 8,553.06 × 3,545.06
  4. Step 4: Simplify right side
    6,197.69x = 30,321,110.88
  5. Step 5: Solve for x
    x = 30,321,110.88/6,197.69
  6. Step 6: Final answer
    x = 4,892.32

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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.