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Finding the Fourth Proportional to 3,958.02, 5,461.58 and 2,189.64

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Solution

The fourth proportional to 3,958.02, 5,461.58 and 2,189.64 is: 3,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.02 : 5,461.58 = 2,189.64 : x
  2. Step 2: Convert to fraction form
    3,958.02/5,461.58 = 2,189.64/x
  3. Step 3: Cross multiply
    3,958.02x = 5,461.58 × 2,189.64
  4. Step 4: Simplify right side
    3,958.02x = 11,958,894.03
  5. Step 5: Solve for x
    x = 11,958,894.03/3,958.02
  6. Step 6: Final answer
    x = 3,021.43

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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.