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Finding the Fourth Proportional to 5,383.78, 8,069.69 and 2,262.86

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Solution

The fourth proportional to 5,383.78, 8,069.69 and 2,262.86 is: 3,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.78 : 8,069.69 = 2,262.86 : x
  2. Step 2: Convert to fraction form
    5,383.78/8,069.69 = 2,262.86/x
  3. Step 3: Cross multiply
    5,383.78x = 8,069.69 × 2,262.86
  4. Step 4: Simplify right side
    5,383.78x = 18,260,587.43
  5. Step 5: Solve for x
    x = 18,260,587.43/5,383.78
  6. Step 6: Final answer
    x = 3,391.78

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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.