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Finding the Fourth Proportional to 5,778.95, 8,668.41 and 2,270.61

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Solution

The fourth proportional to 5,778.95, 8,668.41 and 2,270.61 is: 3,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.95 : 8,668.41 = 2,270.61 : x
  2. Step 2: Convert to fraction form
    5,778.95/8,668.41 = 2,270.61/x
  3. Step 3: Cross multiply
    5,778.95x = 8,668.41 × 2,270.61
  4. Step 4: Simplify right side
    5,778.95x = 19,682,578.43
  5. Step 5: Solve for x
    x = 19,682,578.43/5,778.95
  6. Step 6: Final answer
    x = 3,405.91

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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.