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Finding the Fourth Proportional to 4,516.57, 6,775.37 and 1,229.69

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Solution

The fourth proportional to 4,516.57, 6,775.37 and 1,229.69 is: 1,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.57 : 6,775.37 = 1,229.69 : x
  2. Step 2: Convert to fraction form
    4,516.57/6,775.37 = 1,229.69/x
  3. Step 3: Cross multiply
    4,516.57x = 6,775.37 × 1,229.69
  4. Step 4: Simplify right side
    4,516.57x = 8,331,620.14
  5. Step 5: Solve for x
    x = 8,331,620.14/4,516.57
  6. Step 6: Final answer
    x = 1,844.68

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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.