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Finding the Fourth Proportional to 5,337.92, 8,021.46 and 3,147.28

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Solution

The fourth proportional to 5,337.92, 8,021.46 and 3,147.28 is: 4,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.92 : 8,021.46 = 3,147.28 : x
  2. Step 2: Convert to fraction form
    5,337.92/8,021.46 = 3,147.28/x
  3. Step 3: Cross multiply
    5,337.92x = 8,021.46 × 3,147.28
  4. Step 4: Simplify right side
    5,337.92x = 25,245,780.63
  5. Step 5: Solve for x
    x = 25,245,780.63/5,337.92
  6. Step 6: Final answer
    x = 4,729.52

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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.