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Finding the Fourth Proportional to 3,614.50, 5,421.27 and 982.19

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Solution

The fourth proportional to 3,614.50, 5,421.27 and 982.19 is: 1,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.50 : 5,421.27 = 982.19 : x
  2. Step 2: Convert to fraction form
    3,614.50/5,421.27 = 982.19/x
  3. Step 3: Cross multiply
    3,614.50x = 5,421.27 × 982.19
  4. Step 4: Simplify right side
    3,614.50x = 5,324,717.18
  5. Step 5: Solve for x
    x = 5,324,717.18/3,614.50
  6. Step 6: Final answer
    x = 1,473.15

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Why These Related Problems?

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