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Finding the Fourth Proportional to 5,500.44, 7,590.42 and 3,142.53

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Solution

The fourth proportional to 5,500.44, 7,590.42 and 3,142.53 is: 4,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.44 : 7,590.42 = 3,142.53 : x
  2. Step 2: Convert to fraction form
    5,500.44/7,590.42 = 3,142.53/x
  3. Step 3: Cross multiply
    5,500.44x = 7,590.42 × 3,142.53
  4. Step 4: Simplify right side
    5,500.44x = 23,853,122.56
  5. Step 5: Solve for x
    x = 23,853,122.56/5,500.44
  6. Step 6: Final answer
    x = 4,336.58

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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.