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Finding the Fourth Proportional to 3,958.01, 5,461.88 and 2,189.50

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Solution

The fourth proportional to 3,958.01, 5,461.88 and 2,189.50 is: 3,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.01 : 5,461.88 = 2,189.50 : x
  2. Step 2: Convert to fraction form
    3,958.01/5,461.88 = 2,189.50/x
  3. Step 3: Cross multiply
    3,958.01x = 5,461.88 × 2,189.50
  4. Step 4: Simplify right side
    3,958.01x = 11,958,761.66
  5. Step 5: Solve for x
    x = 11,958,761.66/3,958.01
  6. Step 6: Final answer
    x = 3,021.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.