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Finding the Fourth Proportional to 5,778.14, 8,668.16 and 2,028.94

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Solution

The fourth proportional to 5,778.14, 8,668.16 and 2,028.94 is: 3,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.14 : 8,668.16 = 2,028.94 : x
  2. Step 2: Convert to fraction form
    5,778.14/8,668.16 = 2,028.94/x
  3. Step 3: Cross multiply
    5,778.14x = 8,668.16 × 2,028.94
  4. Step 4: Simplify right side
    5,778.14x = 17,587,224.70
  5. Step 5: Solve for x
    x = 17,587,224.70/5,778.14
  6. Step 6: Final answer
    x = 3,043.75

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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.