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Finding the Fourth Proportional to 5,944.49, 8,207.13 and 3,820.97

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Solution

The fourth proportional to 5,944.49, 8,207.13 and 3,820.97 is: 5,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.49 : 8,207.13 = 3,820.97 : x
  2. Step 2: Convert to fraction form
    5,944.49/8,207.13 = 3,820.97/x
  3. Step 3: Cross multiply
    5,944.49x = 8,207.13 × 3,820.97
  4. Step 4: Simplify right side
    5,944.49x = 31,359,197.52
  5. Step 5: Solve for x
    x = 31,359,197.52/5,944.49
  6. Step 6: Final answer
    x = 5,275.34

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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.