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Finding the Fourth Proportional to 5,773, 7,973.22 and 3,906.76

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Solution

The fourth proportional to 5,773, 7,973.22 and 3,906.76 is: 5,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773 : 7,973.22 = 3,906.76 : x
  2. Step 2: Convert to fraction form
    5,773/7,973.22 = 3,906.76/x
  3. Step 3: Cross multiply
    5,773x = 7,973.22 × 3,906.76
  4. Step 4: Simplify right side
    5,773x = 31,149,456.97
  5. Step 5: Solve for x
    x = 31,149,456.97/5,773
  6. Step 6: Final answer
    x = 5,395.71

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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.