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Finding the Fourth Proportional to 3,958.74, 5,461.02 and 3,213.54

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Solution

The fourth proportional to 3,958.74, 5,461.02 and 3,213.54 is: 4,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.74 : 5,461.02 = 3,213.54 : x
  2. Step 2: Convert to fraction form
    3,958.74/5,461.02 = 3,213.54/x
  3. Step 3: Cross multiply
    3,958.74x = 5,461.02 × 3,213.54
  4. Step 4: Simplify right side
    3,958.74x = 17,549,206.21
  5. Step 5: Solve for x
    x = 17,549,206.21/3,958.74
  6. Step 6: Final answer
    x = 4,433.03

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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.