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Finding the Fourth Proportional to 5,676.67, 8,514.95 and 2,213.92

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Solution

The fourth proportional to 5,676.67, 8,514.95 and 2,213.92 is: 3,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.67 : 8,514.95 = 2,213.92 : x
  2. Step 2: Convert to fraction form
    5,676.67/8,514.95 = 2,213.92/x
  3. Step 3: Cross multiply
    5,676.67x = 8,514.95 × 2,213.92
  4. Step 4: Simplify right side
    5,676.67x = 18,851,364.46
  5. Step 5: Solve for x
    x = 18,851,364.46/5,676.67
  6. Step 6: Final answer
    x = 3,320.85

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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.