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Finding the Fourth Proportional to 5,856.15, 8,785.62 and 1,696.44

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Solution

The fourth proportional to 5,856.15, 8,785.62 and 1,696.44 is: 2,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.15 : 8,785.62 = 1,696.44 : x
  2. Step 2: Convert to fraction form
    5,856.15/8,785.62 = 1,696.44/x
  3. Step 3: Cross multiply
    5,856.15x = 8,785.62 × 1,696.44
  4. Step 4: Simplify right side
    5,856.15x = 14,904,316.50
  5. Step 5: Solve for x
    x = 14,904,316.50/5,856.15
  6. Step 6: Final answer
    x = 2,545.07

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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.