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Finding the Fourth Proportional to 5,631.40, 8,448.81 and 3,991.12

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Solution

The fourth proportional to 5,631.40, 8,448.81 and 3,991.12 is: 5,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.40 : 8,448.81 = 3,991.12 : x
  2. Step 2: Convert to fraction form
    5,631.40/8,448.81 = 3,991.12/x
  3. Step 3: Cross multiply
    5,631.40x = 8,448.81 × 3,991.12
  4. Step 4: Simplify right side
    5,631.40x = 33,720,214.57
  5. Step 5: Solve for x
    x = 33,720,214.57/5,631.40
  6. Step 6: Final answer
    x = 5,987.89

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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.