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Finding the Fourth Proportional to 3,627.46, 5,440.23 and 2,439.46

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Solution

The fourth proportional to 3,627.46, 5,440.23 and 2,439.46 is: 3,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.46 : 5,440.23 = 2,439.46 : x
  2. Step 2: Convert to fraction form
    3,627.46/5,440.23 = 2,439.46/x
  3. Step 3: Cross multiply
    3,627.46x = 5,440.23 × 2,439.46
  4. Step 4: Simplify right side
    3,627.46x = 13,271,223.48
  5. Step 5: Solve for x
    x = 13,271,223.48/3,627.46
  6. Step 6: Final answer
    x = 3,658.54

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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.