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Finding the Fourth Proportional to 5,835.98, 8,053.76 and 3,183.44

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Solution

The fourth proportional to 5,835.98, 8,053.76 and 3,183.44 is: 4,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.98 : 8,053.76 = 3,183.44 : x
  2. Step 2: Convert to fraction form
    5,835.98/8,053.76 = 3,183.44/x
  3. Step 3: Cross multiply
    5,835.98x = 8,053.76 × 3,183.44
  4. Step 4: Simplify right side
    5,835.98x = 25,638,629.42
  5. Step 5: Solve for x
    x = 25,638,629.42/5,835.98
  6. Step 6: Final answer
    x = 4,393.20

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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.