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Finding the Fourth Proportional to 4,894.92, 7,336.92 and 2,117.43

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Solution

The fourth proportional to 4,894.92, 7,336.92 and 2,117.43 is: 3,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.92 : 7,336.92 = 2,117.43 : x
  2. Step 2: Convert to fraction form
    4,894.92/7,336.92 = 2,117.43/x
  3. Step 3: Cross multiply
    4,894.92x = 7,336.92 × 2,117.43
  4. Step 4: Simplify right side
    4,894.92x = 15,535,414.52
  5. Step 5: Solve for x
    x = 15,535,414.52/4,894.92
  6. Step 6: Final answer
    x = 3,173.78

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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.