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Finding the Fourth Proportional to 5,945.28, 8,197.03 and 3,817.05

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Solution

The fourth proportional to 5,945.28, 8,197.03 and 3,817.05 is: 5,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.28 : 8,197.03 = 3,817.05 : x
  2. Step 2: Convert to fraction form
    5,945.28/8,197.03 = 3,817.05/x
  3. Step 3: Cross multiply
    5,945.28x = 8,197.03 × 3,817.05
  4. Step 4: Simplify right side
    5,945.28x = 31,288,473.36
  5. Step 5: Solve for x
    x = 31,288,473.36/5,945.28
  6. Step 6: Final answer
    x = 5,262.74

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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.