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Finding the Fourth Proportional to 5,797, 7,998.49 and 3,912.07

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Solution

The fourth proportional to 5,797, 7,998.49 and 3,912.07 is: 5,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797 : 7,998.49 = 3,912.07 : x
  2. Step 2: Convert to fraction form
    5,797/7,998.49 = 3,912.07/x
  3. Step 3: Cross multiply
    5,797x = 7,998.49 × 3,912.07
  4. Step 4: Simplify right side
    5,797x = 31,290,652.77
  5. Step 5: Solve for x
    x = 31,290,652.77/5,797
  6. Step 6: Final answer
    x = 5,397.73

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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.