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Finding the Fourth Proportional to 5,977.44, 8,253 and 3,623.76

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Solution

The fourth proportional to 5,977.44, 8,253 and 3,623.76 is: 5,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.44 : 8,253 = 3,623.76 : x
  2. Step 2: Convert to fraction form
    5,977.44/8,253 = 3,623.76/x
  3. Step 3: Cross multiply
    5,977.44x = 8,253 × 3,623.76
  4. Step 4: Simplify right side
    5,977.44x = 29,906,891.28
  5. Step 5: Solve for x
    x = 29,906,891.28/5,977.44
  6. Step 6: Final answer
    x = 5,003.29

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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.