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Finding the Fourth Proportional to 5,865.89, 8,777.82 and 5,474.84

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Solution

The fourth proportional to 5,865.89, 8,777.82 and 5,474.84 is: 8,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.89 : 8,777.82 = 5,474.84 : x
  2. Step 2: Convert to fraction form
    5,865.89/8,777.82 = 5,474.84/x
  3. Step 3: Cross multiply
    5,865.89x = 8,777.82 × 5,474.84
  4. Step 4: Simplify right side
    5,865.89x = 48,057,160.05
  5. Step 5: Solve for x
    x = 48,057,160.05/5,865.89
  6. Step 6: Final answer
    x = 8,192.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.