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Finding the Fourth Proportional to 4,483.50, 6,680.69 and 3,992.78

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Solution

The fourth proportional to 4,483.50, 6,680.69 and 3,992.78 is: 5,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.50 : 6,680.69 = 3,992.78 : x
  2. Step 2: Convert to fraction form
    4,483.50/6,680.69 = 3,992.78/x
  3. Step 3: Cross multiply
    4,483.50x = 6,680.69 × 3,992.78
  4. Step 4: Simplify right side
    4,483.50x = 26,674,472.05
  5. Step 5: Solve for x
    x = 26,674,472.05/4,483.50
  6. Step 6: Final answer
    x = 5,949.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.