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Finding the Fourth Proportional to 4,951.92, 6,836.10 and 3,388.20

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Solution

The fourth proportional to 4,951.92, 6,836.10 and 3,388.20 is: 4,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.92 : 6,836.10 = 3,388.20 : x
  2. Step 2: Convert to fraction form
    4,951.92/6,836.10 = 3,388.20/x
  3. Step 3: Cross multiply
    4,951.92x = 6,836.10 × 3,388.20
  4. Step 4: Simplify right side
    4,951.92x = 23,162,074.02
  5. Step 5: Solve for x
    x = 23,162,074.02/4,951.92
  6. Step 6: Final answer
    x = 4,677.39

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1.5x scale

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.