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Finding the Fourth Proportional to 5,752.43, 7,939.01 and 3,200.44

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Solution

The fourth proportional to 5,752.43, 7,939.01 and 3,200.44 is: 4,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.43 : 7,939.01 = 3,200.44 : x
  2. Step 2: Convert to fraction form
    5,752.43/7,939.01 = 3,200.44/x
  3. Step 3: Cross multiply
    5,752.43x = 7,939.01 × 3,200.44
  4. Step 4: Simplify right side
    5,752.43x = 25,408,325.16
  5. Step 5: Solve for x
    x = 25,408,325.16/5,752.43
  6. Step 6: Final answer
    x = 4,416.97

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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.