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Finding the Fourth Proportional to 5,600.82, 8,400.50 and 2,313.48

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Solution

The fourth proportional to 5,600.82, 8,400.50 and 2,313.48 is: 3,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.82 : 8,400.50 = 2,313.48 : x
  2. Step 2: Convert to fraction form
    5,600.82/8,400.50 = 2,313.48/x
  3. Step 3: Cross multiply
    5,600.82x = 8,400.50 × 2,313.48
  4. Step 4: Simplify right side
    5,600.82x = 19,434,388.74
  5. Step 5: Solve for x
    x = 19,434,388.74/5,600.82
  6. Step 6: Final answer
    x = 3,469.92

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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.