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Finding the Fourth Proportional to 5,749.11, 8,640.87 and 4,768.38

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Solution

The fourth proportional to 5,749.11, 8,640.87 and 4,768.38 is: 7,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.11 : 8,640.87 = 4,768.38 : x
  2. Step 2: Convert to fraction form
    5,749.11/8,640.87 = 4,768.38/x
  3. Step 3: Cross multiply
    5,749.11x = 8,640.87 × 4,768.38
  4. Step 4: Simplify right side
    5,749.11x = 41,202,951.69
  5. Step 5: Solve for x
    x = 41,202,951.69/5,749.11
  6. Step 6: Final answer
    x = 7,166.84

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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.