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Finding the Fourth Proportional to 5,967.67, 8,948.85 and 3,193.81

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Solution

The fourth proportional to 5,967.67, 8,948.85 and 3,193.81 is: 4,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.67 : 8,948.85 = 3,193.81 : x
  2. Step 2: Convert to fraction form
    5,967.67/8,948.85 = 3,193.81/x
  3. Step 3: Cross multiply
    5,967.67x = 8,948.85 × 3,193.81
  4. Step 4: Simplify right side
    5,967.67x = 28,580,926.62
  5. Step 5: Solve for x
    x = 28,580,926.62/5,967.67
  6. Step 6: Final answer
    x = 4,789.29

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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.