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Finding the Fourth Proportional to 5,303.30, 7,958.90 and 2,022.80

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Solution

The fourth proportional to 5,303.30, 7,958.90 and 2,022.80 is: 3,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.30 : 7,958.90 = 2,022.80 : x
  2. Step 2: Convert to fraction form
    5,303.30/7,958.90 = 2,022.80/x
  3. Step 3: Cross multiply
    5,303.30x = 7,958.90 × 2,022.80
  4. Step 4: Simplify right side
    5,303.30x = 16,099,262.92
  5. Step 5: Solve for x
    x = 16,099,262.92/5,303.30
  6. Step 6: Final answer
    x = 3,035.71

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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.