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Finding the Fourth Proportional to 5,743.32, 7,922.02 and 4,147.34

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Solution

The fourth proportional to 5,743.32, 7,922.02 and 4,147.34 is: 5,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.32 : 7,922.02 = 4,147.34 : x
  2. Step 2: Convert to fraction form
    5,743.32/7,922.02 = 4,147.34/x
  3. Step 3: Cross multiply
    5,743.32x = 7,922.02 × 4,147.34
  4. Step 4: Simplify right side
    5,743.32x = 32,855,310.43
  5. Step 5: Solve for x
    x = 32,855,310.43/5,743.32
  6. Step 6: Final answer
    x = 5,720.61

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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.