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Finding the Fourth Proportional to 5,168.92, 7,755.95 and 2,048.86

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Solution

The fourth proportional to 5,168.92, 7,755.95 and 2,048.86 is: 3,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.92 : 7,755.95 = 2,048.86 : x
  2. Step 2: Convert to fraction form
    5,168.92/7,755.95 = 2,048.86/x
  3. Step 3: Cross multiply
    5,168.92x = 7,755.95 × 2,048.86
  4. Step 4: Simplify right side
    5,168.92x = 15,890,845.47
  5. Step 5: Solve for x
    x = 15,890,845.47/5,168.92
  6. Step 6: Final answer
    x = 3,074.31

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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.