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Finding the Fourth Proportional to 3,989.99, 5,506.49 and 2,311.85

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Solution

The fourth proportional to 3,989.99, 5,506.49 and 2,311.85 is: 3,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.99 : 5,506.49 = 2,311.85 : x
  2. Step 2: Convert to fraction form
    3,989.99/5,506.49 = 2,311.85/x
  3. Step 3: Cross multiply
    3,989.99x = 5,506.49 × 2,311.85
  4. Step 4: Simplify right side
    3,989.99x = 12,730,178.91
  5. Step 5: Solve for x
    x = 12,730,178.91/3,989.99
  6. Step 6: Final answer
    x = 3,190.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.