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Finding the Fourth Proportional to 5,676.50, 7,832.38 and 3,318.18

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Solution

The fourth proportional to 5,676.50, 7,832.38 and 3,318.18 is: 4,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.50 : 7,832.38 = 3,318.18 : x
  2. Step 2: Convert to fraction form
    5,676.50/7,832.38 = 3,318.18/x
  3. Step 3: Cross multiply
    5,676.50x = 7,832.38 × 3,318.18
  4. Step 4: Simplify right side
    5,676.50x = 25,989,246.67
  5. Step 5: Solve for x
    x = 25,989,246.67/5,676.50
  6. Step 6: Final answer
    x = 4,578.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.