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Finding the Fourth Proportional to 8,295.75, 12,448.49 and 3,678.75

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Solution

The fourth proportional to 8,295.75, 12,448.49 and 3,678.75 is: 5,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.75 : 12,448.49 = 3,678.75 : x
  2. Step 2: Convert to fraction form
    8,295.75/12,448.49 = 3,678.75/x
  3. Step 3: Cross multiply
    8,295.75x = 12,448.49 × 3,678.75
  4. Step 4: Simplify right side
    8,295.75x = 45,794,864.19
  5. Step 5: Solve for x
    x = 45,794,864.19/8,295.75
  6. Step 6: Final answer
    x = 5,520.28

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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.