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Finding the Fourth Proportional to 3,971.40, 5,954.82 and 1,633.02

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Solution

The fourth proportional to 3,971.40, 5,954.82 and 1,633.02 is: 2,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.40 : 5,954.82 = 1,633.02 : x
  2. Step 2: Convert to fraction form
    3,971.40/5,954.82 = 1,633.02/x
  3. Step 3: Cross multiply
    3,971.40x = 5,954.82 × 1,633.02
  4. Step 4: Simplify right side
    3,971.40x = 9,724,340.16
  5. Step 5: Solve for x
    x = 9,724,340.16/3,971.40
  6. Step 6: Final answer
    x = 2,448.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.