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Finding the Fourth Proportional to 5,188.92, 7,784.22 and 2,068.92

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Solution

The fourth proportional to 5,188.92, 7,784.22 and 2,068.92 is: 3,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.92 : 7,784.22 = 2,068.92 : x
  2. Step 2: Convert to fraction form
    5,188.92/7,784.22 = 2,068.92/x
  3. Step 3: Cross multiply
    5,188.92x = 7,784.22 × 2,068.92
  4. Step 4: Simplify right side
    5,188.92x = 16,104,928.44
  5. Step 5: Solve for x
    x = 16,104,928.44/5,188.92
  6. Step 6: Final answer
    x = 3,103.71

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1.5x scale

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.