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Finding the Fourth Proportional to 3,391.86, 5,086.60 and 1,612.71

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Solution

The fourth proportional to 3,391.86, 5,086.60 and 1,612.71 is: 2,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.86 : 5,086.60 = 1,612.71 : x
  2. Step 2: Convert to fraction form
    3,391.86/5,086.60 = 1,612.71/x
  3. Step 3: Cross multiply
    3,391.86x = 5,086.60 × 1,612.71
  4. Step 4: Simplify right side
    3,391.86x = 8,203,210.69
  5. Step 5: Solve for x
    x = 8,203,210.69/3,391.86
  6. Step 6: Final answer
    x = 2,418.50

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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.