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Finding the Fourth Proportional to 4,560.57, 6,842.02 and 1,273.67

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Solution

The fourth proportional to 4,560.57, 6,842.02 and 1,273.67 is: 1,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.57 : 6,842.02 = 1,273.67 : x
  2. Step 2: Convert to fraction form
    4,560.57/6,842.02 = 1,273.67/x
  3. Step 3: Cross multiply
    4,560.57x = 6,842.02 × 1,273.67
  4. Step 4: Simplify right side
    4,560.57x = 8,714,469.25
  5. Step 5: Solve for x
    x = 8,714,469.25/4,560.57
  6. Step 6: Final answer
    x = 1,910.83

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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.