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Finding the Fourth Proportional to 5,796.66, 7,999.32 and 3,144

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Solution

The fourth proportional to 5,796.66, 7,999.32 and 3,144 is: 4,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.66 : 7,999.32 = 3,144 : x
  2. Step 2: Convert to fraction form
    5,796.66/7,999.32 = 3,144/x
  3. Step 3: Cross multiply
    5,796.66x = 7,999.32 × 3,144
  4. Step 4: Simplify right side
    5,796.66x = 25,149,862.08
  5. Step 5: Solve for x
    x = 25,149,862.08/5,796.66
  6. Step 6: Final answer
    x = 4,338.68

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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.