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Finding the Fourth Proportional to 4,951.92, 6,834.24 and 2,856

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Solution

The fourth proportional to 4,951.92, 6,834.24 and 2,856 is: 3,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.92 : 6,834.24 = 2,856 : x
  2. Step 2: Convert to fraction form
    4,951.92/6,834.24 = 2,856/x
  3. Step 3: Cross multiply
    4,951.92x = 6,834.24 × 2,856
  4. Step 4: Simplify right side
    4,951.92x = 19,518,589.44
  5. Step 5: Solve for x
    x = 19,518,589.44/4,951.92
  6. Step 6: Final answer
    x = 3,941.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.