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Finding the Fourth Proportional to 3,992.40, 5,988.87 and 1,219.29

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Solution

The fourth proportional to 3,992.40, 5,988.87 and 1,219.29 is: 1,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.40 : 5,988.87 = 1,219.29 : x
  2. Step 2: Convert to fraction form
    3,992.40/5,988.87 = 1,219.29/x
  3. Step 3: Cross multiply
    3,992.40x = 5,988.87 × 1,219.29
  4. Step 4: Simplify right side
    3,992.40x = 7,302,169.30
  5. Step 5: Solve for x
    x = 7,302,169.30/3,992.40
  6. Step 6: Final answer
    x = 1,829.02

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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.