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Finding the Fourth Proportional to 5,797.38, 8,684.73 and 2,866.80

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Solution

The fourth proportional to 5,797.38, 8,684.73 and 2,866.80 is: 4,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.38 : 8,684.73 = 2,866.80 : x
  2. Step 2: Convert to fraction form
    5,797.38/8,684.73 = 2,866.80/x
  3. Step 3: Cross multiply
    5,797.38x = 8,684.73 × 2,866.80
  4. Step 4: Simplify right side
    5,797.38x = 24,897,383.96
  5. Step 5: Solve for x
    x = 24,897,383.96/5,797.38
  6. Step 6: Final answer
    x = 4,294.59

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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.