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Finding the Fourth Proportional to 4,119.86, 6,179.12 and 1,346.49

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Solution

The fourth proportional to 4,119.86, 6,179.12 and 1,346.49 is: 2,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.86 : 6,179.12 = 1,346.49 : x
  2. Step 2: Convert to fraction form
    4,119.86/6,179.12 = 1,346.49/x
  3. Step 3: Cross multiply
    4,119.86x = 6,179.12 × 1,346.49
  4. Step 4: Simplify right side
    4,119.86x = 8,320,121.61
  5. Step 5: Solve for x
    x = 8,320,121.61/4,119.86
  6. Step 6: Final answer
    x = 2,019.51

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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.