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Finding the Fourth Proportional to 3,997.76, 5,999.27 and 1,400.63

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Solution

The fourth proportional to 3,997.76, 5,999.27 and 1,400.63 is: 2,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.76 : 5,999.27 = 1,400.63 : x
  2. Step 2: Convert to fraction form
    3,997.76/5,999.27 = 1,400.63/x
  3. Step 3: Cross multiply
    3,997.76x = 5,999.27 × 1,400.63
  4. Step 4: Simplify right side
    3,997.76x = 8,402,720.54
  5. Step 5: Solve for x
    x = 8,402,720.54/3,997.76
  6. Step 6: Final answer
    x = 2,101.86

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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.