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Finding the Fourth Proportional to 5,122.44, 7,665.84 and 3,147.19

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Solution

The fourth proportional to 5,122.44, 7,665.84 and 3,147.19 is: 4,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.44 : 7,665.84 = 3,147.19 : x
  2. Step 2: Convert to fraction form
    5,122.44/7,665.84 = 3,147.19/x
  3. Step 3: Cross multiply
    5,122.44x = 7,665.84 × 3,147.19
  4. Step 4: Simplify right side
    5,122.44x = 24,125,835.83
  5. Step 5: Solve for x
    x = 24,125,835.83/5,122.44
  6. Step 6: Final answer
    x = 4,709.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.