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Finding the Fourth Proportional to 4,057.76, 6,086.76 and 2,679.92

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Solution

The fourth proportional to 4,057.76, 6,086.76 and 2,679.92 is: 4,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.76 : 6,086.76 = 2,679.92 : x
  2. Step 2: Convert to fraction form
    4,057.76/6,086.76 = 2,679.92/x
  3. Step 3: Cross multiply
    4,057.76x = 6,086.76 × 2,679.92
  4. Step 4: Simplify right side
    4,057.76x = 16,312,029.86
  5. Step 5: Solve for x
    x = 16,312,029.86/4,057.76
  6. Step 6: Final answer
    x = 4,019.96

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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.