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Finding the Fourth Proportional to 5,183.45, 7,775.17 and 1,287.85

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Solution

The fourth proportional to 5,183.45, 7,775.17 and 1,287.85 is: 1,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.45 : 7,775.17 = 1,287.85 : x
  2. Step 2: Convert to fraction form
    5,183.45/7,775.17 = 1,287.85/x
  3. Step 3: Cross multiply
    5,183.45x = 7,775.17 × 1,287.85
  4. Step 4: Simplify right side
    5,183.45x = 10,013,252.68
  5. Step 5: Solve for x
    x = 10,013,252.68/5,183.45
  6. Step 6: Final answer
    x = 1,931.77

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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.