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Finding the Fourth Proportional to 3,614.85, 5,422.63 and 982.39

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Solution

The fourth proportional to 3,614.85, 5,422.63 and 982.39 is: 1,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.85 : 5,422.63 = 982.39 : x
  2. Step 2: Convert to fraction form
    3,614.85/5,422.63 = 982.39/x
  3. Step 3: Cross multiply
    3,614.85x = 5,422.63 × 982.39
  4. Step 4: Simplify right side
    3,614.85x = 5,327,137.49
  5. Step 5: Solve for x
    x = 5,327,137.49/3,614.85
  6. Step 6: Final answer
    x = 1,473.68

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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.