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Finding the Fourth Proportional to 5,676.86, 8,513.98 and 2,165.59

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Solution

The fourth proportional to 5,676.86, 8,513.98 and 2,165.59 is: 3,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.86 : 8,513.98 = 2,165.59 : x
  2. Step 2: Convert to fraction form
    5,676.86/8,513.98 = 2,165.59/x
  3. Step 3: Cross multiply
    5,676.86x = 8,513.98 × 2,165.59
  4. Step 4: Simplify right side
    5,676.86x = 18,437,751.85
  5. Step 5: Solve for x
    x = 18,437,751.85/5,676.86
  6. Step 6: Final answer
    x = 3,247.88

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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.