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Finding the Fourth Proportional to 3,615.35, 5,423.38 and 982.89

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Solution

The fourth proportional to 3,615.35, 5,423.38 and 982.89 is: 1,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.35 : 5,423.38 = 982.89 : x
  2. Step 2: Convert to fraction form
    3,615.35/5,423.38 = 982.89/x
  3. Step 3: Cross multiply
    3,615.35x = 5,423.38 × 982.89
  4. Step 4: Simplify right side
    3,615.35x = 5,330,585.97
  5. Step 5: Solve for x
    x = 5,330,585.97/3,615.35
  6. Step 6: Final answer
    x = 1,474.43

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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.