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Finding the Fourth Proportional to 3,980.88, 5,973 and 2,131.50

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Solution

The fourth proportional to 3,980.88, 5,973 and 2,131.50 is: 3,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.88 : 5,973 = 2,131.50 : x
  2. Step 2: Convert to fraction form
    3,980.88/5,973 = 2,131.50/x
  3. Step 3: Cross multiply
    3,980.88x = 5,973 × 2,131.50
  4. Step 4: Simplify right side
    3,980.88x = 12,731,449.50
  5. Step 5: Solve for x
    x = 12,731,449.50/3,980.88
  6. Step 6: Final answer
    x = 3,198.15

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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.