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Finding the Fourth Proportional to 3,879.51, 5,822.63 and 2,031.90

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Solution

The fourth proportional to 3,879.51, 5,822.63 and 2,031.90 is: 3,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.51 : 5,822.63 = 2,031.90 : x
  2. Step 2: Convert to fraction form
    3,879.51/5,822.63 = 2,031.90/x
  3. Step 3: Cross multiply
    3,879.51x = 5,822.63 × 2,031.90
  4. Step 4: Simplify right side
    3,879.51x = 11,830,991.74
  5. Step 5: Solve for x
    x = 11,830,991.74/3,879.51
  6. Step 6: Final answer
    x = 3,049.61

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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.