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Finding the Fourth Proportional to 3,629.41, 5,447.19 and 1,987.11

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Solution

The fourth proportional to 3,629.41, 5,447.19 and 1,987.11 is: 2,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.41 : 5,447.19 = 1,987.11 : x
  2. Step 2: Convert to fraction form
    3,629.41/5,447.19 = 1,987.11/x
  3. Step 3: Cross multiply
    3,629.41x = 5,447.19 × 1,987.11
  4. Step 4: Simplify right side
    3,629.41x = 10,824,165.72
  5. Step 5: Solve for x
    x = 10,824,165.72/3,629.41
  6. Step 6: Final answer
    x = 2,982.35

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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.