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Finding the Fourth Proportional to 5,786.15, 7,984.98 and 3,133.67

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Solution

The fourth proportional to 5,786.15, 7,984.98 and 3,133.67 is: 4,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.15 : 7,984.98 = 3,133.67 : x
  2. Step 2: Convert to fraction form
    5,786.15/7,984.98 = 3,133.67/x
  3. Step 3: Cross multiply
    5,786.15x = 7,984.98 × 3,133.67
  4. Step 4: Simplify right side
    5,786.15x = 25,022,252.35
  5. Step 5: Solve for x
    x = 25,022,252.35/5,786.15
  6. Step 6: Final answer
    x = 4,324.51

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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.