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Finding the Fourth Proportional to 4,517.72, 6,775.48 and 1,230.83

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Solution

The fourth proportional to 4,517.72, 6,775.48 and 1,230.83 is: 1,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.72 : 6,775.48 = 1,230.83 : x
  2. Step 2: Convert to fraction form
    4,517.72/6,775.48 = 1,230.83/x
  3. Step 3: Cross multiply
    4,517.72x = 6,775.48 × 1,230.83
  4. Step 4: Simplify right side
    4,517.72x = 8,339,424.02
  5. Step 5: Solve for x
    x = 8,339,424.02/4,517.72
  6. Step 6: Final answer
    x = 1,845.94

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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.