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Finding the Fourth Proportional to 5,857.69, 8,785.48 and 1,696.68

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Solution

The fourth proportional to 5,857.69, 8,785.48 and 1,696.68 is: 2,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.69 : 8,785.48 = 1,696.68 : x
  2. Step 2: Convert to fraction form
    5,857.69/8,785.48 = 1,696.68/x
  3. Step 3: Cross multiply
    5,857.69x = 8,785.48 × 1,696.68
  4. Step 4: Simplify right side
    5,857.69x = 14,906,148.21
  5. Step 5: Solve for x
    x = 14,906,148.21/5,857.69
  6. Step 6: Final answer
    x = 2,544.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.