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Finding the Fourth Proportional to 3,615.67, 5,423.85 and 983.21

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Solution

The fourth proportional to 3,615.67, 5,423.85 and 983.21 is: 1,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.67 : 5,423.85 = 983.21 : x
  2. Step 2: Convert to fraction form
    3,615.67/5,423.85 = 983.21/x
  3. Step 3: Cross multiply
    3,615.67x = 5,423.85 × 983.21
  4. Step 4: Simplify right side
    3,615.67x = 5,332,756.44
  5. Step 5: Solve for x
    x = 5,332,756.44/3,615.67
  6. Step 6: Final answer
    x = 1,474.90

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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.