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Finding the Fourth Proportional to 5,797, 7,999.86 and 3,313

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Solution

The fourth proportional to 5,797, 7,999.86 and 3,313 is: 4,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797 : 7,999.86 = 3,313 : x
  2. Step 2: Convert to fraction form
    5,797/7,999.86 = 3,313/x
  3. Step 3: Cross multiply
    5,797x = 7,999.86 × 3,313
  4. Step 4: Simplify right side
    5,797x = 26,503,536.18
  5. Step 5: Solve for x
    x = 26,503,536.18/5,797
  6. Step 6: Final answer
    x = 4,571.94

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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.