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Finding the Fourth Proportional to 5,922.23, 8,147.52 and 5,758.20

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Solution

The fourth proportional to 5,922.23, 8,147.52 and 5,758.20 is: 7,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.23 : 8,147.52 = 5,758.20 : x
  2. Step 2: Convert to fraction form
    5,922.23/8,147.52 = 5,758.20/x
  3. Step 3: Cross multiply
    5,922.23x = 8,147.52 × 5,758.20
  4. Step 4: Simplify right side
    5,922.23x = 46,915,049.66
  5. Step 5: Solve for x
    x = 46,915,049.66/5,922.23
  6. Step 6: Final answer
    x = 7,921.86

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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.