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Finding the Fourth Proportional to 5,857.70, 8,785.17 and 1,696.61

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Solution

The fourth proportional to 5,857.70, 8,785.17 and 1,696.61 is: 2,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.70 : 8,785.17 = 1,696.61 : x
  2. Step 2: Convert to fraction form
    5,857.70/8,785.17 = 1,696.61/x
  3. Step 3: Cross multiply
    5,857.70x = 8,785.17 × 1,696.61
  4. Step 4: Simplify right side
    5,857.70x = 14,904,954.86
  5. Step 5: Solve for x
    x = 14,904,954.86/5,857.70
  6. Step 6: Final answer
    x = 2,544.51

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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.