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Finding the Fourth Proportional to 5,778.86, 8,668.76 and 1,830.38

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Solution

The fourth proportional to 5,778.86, 8,668.76 and 1,830.38 is: 2,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.86 : 8,668.76 = 1,830.38 : x
  2. Step 2: Convert to fraction form
    5,778.86/8,668.76 = 1,830.38/x
  3. Step 3: Cross multiply
    5,778.86x = 8,668.76 × 1,830.38
  4. Step 4: Simplify right side
    5,778.86x = 15,867,072.43
  5. Step 5: Solve for x
    x = 15,867,072.43/5,778.86
  6. Step 6: Final answer
    x = 2,745.71

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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.