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Finding the Fourth Proportional to 4,311.81, 5,952.33 and 2,819.79

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Solution

The fourth proportional to 4,311.81, 5,952.33 and 2,819.79 is: 3,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.81 : 5,952.33 = 2,819.79 : x
  2. Step 2: Convert to fraction form
    4,311.81/5,952.33 = 2,819.79/x
  3. Step 3: Cross multiply
    4,311.81x = 5,952.33 × 2,819.79
  4. Step 4: Simplify right side
    4,311.81x = 16,784,320.61
  5. Step 5: Solve for x
    x = 16,784,320.61/4,311.81
  6. Step 6: Final answer
    x = 3,892.64

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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.