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Finding the Fourth Proportional to 5,676.68, 8,516.73 and 2,905.28

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Solution

The fourth proportional to 5,676.68, 8,516.73 and 2,905.28 is: 4,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.68 : 8,516.73 = 2,905.28 : x
  2. Step 2: Convert to fraction form
    5,676.68/8,516.73 = 2,905.28/x
  3. Step 3: Cross multiply
    5,676.68x = 8,516.73 × 2,905.28
  4. Step 4: Simplify right side
    5,676.68x = 24,743,517.15
  5. Step 5: Solve for x
    x = 24,743,517.15/5,676.68
  6. Step 6: Final answer
    x = 4,358.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.