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Finding the Fourth Proportional to 5,949.54, 8,213.13 and 3,854.34

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Solution

The fourth proportional to 5,949.54, 8,213.13 and 3,854.34 is: 5,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.54 : 8,213.13 = 3,854.34 : x
  2. Step 2: Convert to fraction form
    5,949.54/8,213.13 = 3,854.34/x
  3. Step 3: Cross multiply
    5,949.54x = 8,213.13 × 3,854.34
  4. Step 4: Simplify right side
    5,949.54x = 31,656,195.48
  5. Step 5: Solve for x
    x = 31,656,195.48/5,949.54
  6. Step 6: Final answer
    x = 5,320.78

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1.5x scale

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.