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Finding the Fourth Proportional to 5,777.85, 7,974.33 and 3,794.16

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Solution

The fourth proportional to 5,777.85, 7,974.33 and 3,794.16 is: 5,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.85 : 7,974.33 = 3,794.16 : x
  2. Step 2: Convert to fraction form
    5,777.85/7,974.33 = 3,794.16/x
  3. Step 3: Cross multiply
    5,777.85x = 7,974.33 × 3,794.16
  4. Step 4: Simplify right side
    5,777.85x = 30,255,883.91
  5. Step 5: Solve for x
    x = 30,255,883.91/5,777.85
  6. Step 6: Final answer
    x = 5,236.53

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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.