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Finding the Fourth Proportional to 4,766.85, 7,150.41 and 4,553.62

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Solution

The fourth proportional to 4,766.85, 7,150.41 and 4,553.62 is: 6,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.85 : 7,150.41 = 4,553.62 : x
  2. Step 2: Convert to fraction form
    4,766.85/7,150.41 = 4,553.62/x
  3. Step 3: Cross multiply
    4,766.85x = 7,150.41 × 4,553.62
  4. Step 4: Simplify right side
    4,766.85x = 32,560,232.11
  5. Step 5: Solve for x
    x = 32,560,232.11/4,766.85
  6. Step 6: Final answer
    x = 6,830.56

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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.