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Finding the Fourth Proportional to 5,856.62, 8,785.39 and 1,696.69

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Solution

The fourth proportional to 5,856.62, 8,785.39 and 1,696.69 is: 2,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.62 : 8,785.39 = 1,696.69 : x
  2. Step 2: Convert to fraction form
    5,856.62/8,785.39 = 1,696.69/x
  3. Step 3: Cross multiply
    5,856.62x = 8,785.39 × 1,696.69
  4. Step 4: Simplify right side
    5,856.62x = 14,906,083.36
  5. Step 5: Solve for x
    x = 14,906,083.36/5,856.62
  6. Step 6: Final answer
    x = 2,545.17

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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.