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Finding the Fourth Proportional to 5,780.92, 8,668.01 and 2,266.80

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Solution

The fourth proportional to 5,780.92, 8,668.01 and 2,266.80 is: 3,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.92 : 8,668.01 = 2,266.80 : x
  2. Step 2: Convert to fraction form
    5,780.92/8,668.01 = 2,266.80/x
  3. Step 3: Cross multiply
    5,780.92x = 8,668.01 × 2,266.80
  4. Step 4: Simplify right side
    5,780.92x = 19,648,658.24
  5. Step 5: Solve for x
    x = 19,648,658.24/5,780.92
  6. Step 6: Final answer
    x = 3,398.88

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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.