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Finding the Fourth Proportional to 3,615.26, 5,422.40 and 982.98

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Solution

The fourth proportional to 3,615.26, 5,422.40 and 982.98 is: 1,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.26 : 5,422.40 = 982.98 : x
  2. Step 2: Convert to fraction form
    3,615.26/5,422.40 = 982.98/x
  3. Step 3: Cross multiply
    3,615.26x = 5,422.40 × 982.98
  4. Step 4: Simplify right side
    3,615.26x = 5,330,110.75
  5. Step 5: Solve for x
    x = 5,330,110.75/3,615.26
  6. Step 6: Final answer
    x = 1,474.34

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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.