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Finding the Fourth Proportional to 5,906.52, 8,859.78 and 5,545.66

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Solution

The fourth proportional to 5,906.52, 8,859.78 and 5,545.66 is: 8,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.52 : 8,859.78 = 5,545.66 : x
  2. Step 2: Convert to fraction form
    5,906.52/8,859.78 = 5,545.66/x
  3. Step 3: Cross multiply
    5,906.52x = 8,859.78 × 5,545.66
  4. Step 4: Simplify right side
    5,906.52x = 49,133,359.43
  5. Step 5: Solve for x
    x = 49,133,359.43/5,906.52
  6. Step 6: Final answer
    x = 8,318.50

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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.