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Finding the Fourth Proportional to 4,199.82, 5,794.92 and 3,572.88

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Solution

The fourth proportional to 4,199.82, 5,794.92 and 3,572.88 is: 4,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.82 : 5,794.92 = 3,572.88 : x
  2. Step 2: Convert to fraction form
    4,199.82/5,794.92 = 3,572.88/x
  3. Step 3: Cross multiply
    4,199.82x = 5,794.92 × 3,572.88
  4. Step 4: Simplify right side
    4,199.82x = 20,704,553.77
  5. Step 5: Solve for x
    x = 20,704,553.77/4,199.82
  6. Step 6: Final answer
    x = 4,929.87

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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.