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Finding the Fourth Proportional to 5,796.87, 7,999.66 and 3,144.32

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Solution

The fourth proportional to 5,796.87, 7,999.66 and 3,144.32 is: 4,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.87 : 7,999.66 = 3,144.32 : x
  2. Step 2: Convert to fraction form
    5,796.87/7,999.66 = 3,144.32/x
  3. Step 3: Cross multiply
    5,796.87x = 7,999.66 × 3,144.32
  4. Step 4: Simplify right side
    5,796.87x = 25,153,484.86
  5. Step 5: Solve for x
    x = 25,153,484.86/5,796.87
  6. Step 6: Final answer
    x = 4,339.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.