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Finding the Fourth Proportional to 5,767.34, 8,650.20 and 3,294.14

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Solution

The fourth proportional to 5,767.34, 8,650.20 and 3,294.14 is: 4,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.34 : 8,650.20 = 3,294.14 : x
  2. Step 2: Convert to fraction form
    5,767.34/8,650.20 = 3,294.14/x
  3. Step 3: Cross multiply
    5,767.34x = 8,650.20 × 3,294.14
  4. Step 4: Simplify right side
    5,767.34x = 28,494,969.83
  5. Step 5: Solve for x
    x = 28,494,969.83/5,767.34
  6. Step 6: Final answer
    x = 4,940.75

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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.