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Finding the Fourth Proportional to 5,935.07, 8,917.20 and 4,469.78

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Solution

The fourth proportional to 5,935.07, 8,917.20 and 4,469.78 is: 6,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.07 : 8,917.20 = 4,469.78 : x
  2. Step 2: Convert to fraction form
    5,935.07/8,917.20 = 4,469.78/x
  3. Step 3: Cross multiply
    5,935.07x = 8,917.20 × 4,469.78
  4. Step 4: Simplify right side
    5,935.07x = 39,857,922.22
  5. Step 5: Solve for x
    x = 39,857,922.22/5,935.07
  6. Step 6: Final answer
    x = 6,715.66

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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.