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Finding the Fourth Proportional to 3,447.36, 5,170.20 and 982.40

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Solution

The fourth proportional to 3,447.36, 5,170.20 and 982.40 is: 1,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.36 : 5,170.20 = 982.40 : x
  2. Step 2: Convert to fraction form
    3,447.36/5,170.20 = 982.40/x
  3. Step 3: Cross multiply
    3,447.36x = 5,170.20 × 982.40
  4. Step 4: Simplify right side
    3,447.36x = 5,079,204.48
  5. Step 5: Solve for x
    x = 5,079,204.48/3,447.36
  6. Step 6: Final answer
    x = 1,473.36

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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.