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Finding the Fourth Proportional to 3,615.27, 5,423.27 and 982.82

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Solution

The fourth proportional to 3,615.27, 5,423.27 and 982.82 is: 1,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.27 : 5,423.27 = 982.82 : x
  2. Step 2: Convert to fraction form
    3,615.27/5,423.27 = 982.82/x
  3. Step 3: Cross multiply
    3,615.27x = 5,423.27 × 982.82
  4. Step 4: Simplify right side
    3,615.27x = 5,330,066.19
  5. Step 5: Solve for x
    x = 5,330,066.19/3,615.27
  6. Step 6: Final answer
    x = 1,474.32

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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.